457961666400 has 2304 divisors, whose sum is σ = 2159861760000. Its totient is φ = 91201904640.

The previous prime is 457961666399. The next prime is 457961666417. The reversal of 457961666400 is 4666169754.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1916157481 + ... + 1916157719.

It is an arithmetic number, because the mean of its divisors is an integer number (937440000).

Almost surely, 2^457961666400 is an apocalyptic number.

457961666400 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 457961666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079930880000).

457961666400 is an abundant number, since it is smaller than the sum of its proper divisors (1701900093600).

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

457961666400 is a wasteful number, since it uses less digits than its factorization.

457961666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 457961666400 in words is "four hundred fifty-seven billion, nine hundred sixty-one million, six hundred sixty-six thousand, four hundred".