457426944000 has 1440 divisors, whose sum is σ = 1875526458624. Its totient is φ = 106404249600.

The previous prime is 457426943983. The next prime is 457426944077. The reversal of 457426944000 is 449624754.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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, 5511167959 + ... + 5511168041.

Almost surely, 2^457426944000 is an apocalyptic number.

457426944000 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 457426944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937763229312).

457426944000 is an abundant number, since it is smaller than the sum of its proper divisors (1418099514624).

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

457426944000 is a wasteful number, since it uses less digits than its factorization.

457426944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 457426944000 in words is "four hundred fifty-seven billion, four hundred twenty-six million, nine hundred forty-four thousand".