24945480 has 192 divisors, whose sum is σ = 97718400. Its totient is φ = 5391360.

The previous prime is 24945469. The next prime is 24945491. The reversal of 24945480 is 8454942.

24945480 is a `hidden beast` number, since 24 + 94 + 548 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (24945469) and next prime (24945491).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47620 + ... + 48140.

It is an arithmetic number, because the mean of its divisors is an integer number (508950).

Almost surely, 2^24945480 is an apocalyptic number.

24945480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24945480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48859200).

24945480 is an abundant number, since it is smaller than the sum of its proper divisors (72772920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

24945480 is a wasteful number, since it uses less digits than its factorization.

24945480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 24945480 is about 4994.5450243240. The cubic root of 24945480 is about 292.1890625232.

It can be divided in two parts, 24945 and 480, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 24945480 in words is "twenty-four million, nine hundred forty-five thousand, four hundred eighty".