457354265004 has 192 divisors, whose sum is σ = 1459869465600. Its totient is φ = 120579134976.

The previous prime is 457354264999. The next prime is 457354265021. The reversal of 457354265004 is 400562453754.

457354265004 is a `hidden beast` number, since 4 + 5 + 73 + 54 + 26 + 500 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37035559 + ... + 37047905.

It is an arithmetic number, because the mean of its divisors is an integer number (7603486800).

Almost surely, 2^457354265004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457354265004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729934732800).

457354265004 is an abundant number, since it is smaller than the sum of its proper divisors (1002515200596).

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

457354265004 is a wasteful number, since it uses less digits than its factorization.

457354265004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16149 (or 16141 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 45.

The spelling of 457354265004 in words is "four hundred fifty-seven billion, three hundred fifty-four million, two hundred sixty-five thousand, four".