457250061503400 has 192 divisors, whose sum is σ = 1546531281288000. Its totient is φ = 110834542080000.

The previous prime is 457250061503369. The next prime is 457250061503419. The reversal of 457250061503400 is 4305160052754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48105600 + ... + 56821200.

It is an arithmetic number, because the mean of its divisors is an integer number (8054850423375).

Almost surely, 2^{457250061503400} is an apocalyptic number.

457250061503400 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 457250061503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773265640644000).

457250061503400 is an abundant number, since it is smaller than the sum of its proper divisors (1089281219784600).

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

457250061503400 is a wasteful number, since it uses less digits than its factorization.

457250061503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723580 (or 8723571 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 457250061503400 in words is "four hundred fifty-seven trillion, two hundred fifty billion, sixty-one million, five hundred three thousand, four hundred".