126420480 has 320 divisors, whose sum is σ = 471398400. Its totient is φ = 32071680.

The previous prime is 126420479. The next prime is 126420493. The reversal of 126420480 is 84024621.

126420480 is a `hidden beast` number, since 12 + 642 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142691 + ... + 2142749.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^126420480 is an apocalyptic number.

126420480 is a gapful number since it is divisible by the number (10) 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 126420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

126420480 is an abundant number, since it is smaller than the sum of its proper divisors (344977920).

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

126420480 is an equidigital number, since it uses as much as digits as its factorization.

126420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 126420480 is about 11243.6862282794. The cubic root of 126420480 is about 501.8868440160.

The spelling of 126420480 in words is "one hundred twenty-six million, four hundred twenty thousand, four hundred eighty".