457502666400 has 576 divisors, whose sum is σ = 1796085043200. Its totient is φ = 111720591360.

The previous prime is 457502666389. The next prime is 457502666443. The reversal of 457502666400 is 4666205754.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35655186 + ... + 35668014.

It is an arithmetic number, because the mean of its divisors is an integer number (3118203200).

Almost surely, 2^457502666400 is an apocalyptic number.

457502666400 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 457502666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898042521600).

457502666400 is an abundant number, since it is smaller than the sum of its proper divisors (1338582376800).

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

457502666400 is a wasteful number, since it uses less digits than its factorization.

457502666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12998 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 457502666400 in words is "four hundred fifty-seven billion, five hundred two million, six hundred sixty-six thousand, four hundred".