457208720640 has 1152 divisors, whose sum is σ = 1921425408000. Its totient is φ = 100788240384.

The previous prime is 457208720629. The next prime is 457208720641. The reversal of 457208720640 is 46027802754.

It is a happy number.

457208720640 is a `hidden beast` number, since 4 + 572 + 0 + 8 + 72 + 0 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457208720641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 898248706 + ... + 898249214.

It is an arithmetic number, because the mean of its divisors is an integer number (1667904000).

Almost surely, 2^457208720640 is an apocalyptic number.

457208720640 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 457208720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960712704000).

457208720640 is an abundant number, since it is smaller than the sum of its proper divisors (1464216687360).

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

457208720640 is a wasteful number, since it uses less digits than its factorization.

457208720640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 457208720640 in words is "four hundred fifty-seven billion, two hundred eight million, seven hundred twenty thousand, six hundred forty".