453250080 has 240 divisors, whose sum is σ = 1640530584. Its totient is φ = 117780480.

The previous prime is 453250079. The next prime is 453250099. The reversal of 453250080 is 80052354.

453250080 is a `hidden beast` number, since 4 + 532 + 50 + 0 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125350416 + 327899664 = 11196^2 + 18108^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 530934 + ... + 531786.

Almost surely, 2^453250080 is an apocalyptic number.

453250080 is a gapful number since it is divisible by the number (40) 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 453250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820265292).

453250080 is an abundant number, since it is smaller than the sum of its proper divisors (1187280504).

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

453250080 is a wasteful number, since it uses less digits than its factorization.

453250080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 453250080 is about 21289.6707348893. The cubic root of 453250080 is about 768.1498730945.

The spelling of 453250080 in words is "four hundred fifty-three million, two hundred fifty thousand, eighty".