457735685400 has 864 divisors, whose sum is σ = 1825918848000. Its totient is φ = 102443927040.

The previous prime is 457735685371. The next prime is 457735685411. The reversal of 457735685400 is 4586537754.

457735685400 is a `hidden beast` number, since 4 + 5 + 7 + 7 + 35 + 68 + 540 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1247236017 + ... + 1247236383.

It is an arithmetic number, because the mean of its divisors is an integer number (2113332000).

Almost surely, 2^457735685400 is an apocalyptic number.

457735685400 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 457735685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912959424000).

457735685400 is an abundant number, since it is smaller than the sum of its proper divisors (1368183162600).

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

457735685400 is a wasteful number, since it uses less digits than its factorization.

457735685400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 457735685400 in words is "four hundred fifty-seven billion, seven hundred thirty-five million, six hundred eighty-five thousand, four hundred".