457572240000 has 800 divisors, whose sum is σ = 1714507072740. Its totient is φ = 121098240000.

The previous prime is 457572239983. The next prime is 457572240007. The reversal of 457572240000 is 42275754.

It is a happy number.

457572240000 is a `hidden beast` number, since 45 + 7 + 572 + 2 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 6987622464 + 450584617536 = 83592^2 + 671256^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (457572240007) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1561679854 + ... + 1561680146.

Almost surely, 2^457572240000 is an apocalyptic number.

457572240000 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 457572240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857253536370).

457572240000 is an abundant number, since it is smaller than the sum of its proper divisors (1256934832740).

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

457572240000 is an equidigital number, since it uses as much as digits as its factorization.

457572240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 457572240000 in words is "four hundred fifty-seven billion, five hundred seventy-two million, two hundred forty thousand".