460151798400 has 1728 divisors, whose sum is σ = 2031333557760. Its totient is φ = 100776960000.

The previous prime is 460151798371. The next prime is 460151798423. The reversal of 460151798400 is 4897151064.

460151798400 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 517 + 98 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 4555958350 + ... + 4555958450.

Almost surely, 2^460151798400 is an apocalyptic number.

460151798400 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 460151798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015666778880).

460151798400 is an abundant number, since it is smaller than the sum of its proper divisors (1571181759360).

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

460151798400 is an equidigital number, since it uses as much as digits as its factorization.

460151798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 460151798400 in words is "four hundred sixty billion, one hundred fifty-one million, seven hundred ninety-eight thousand, four hundred".