460286400 has 504 divisors, whose sum is σ = 1867082880. Its totient is φ = 98703360.

The previous prime is 460286353. The next prime is 460286413. The reversal of 460286400 is 4682064.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4468749 + ... + 4468851.

Almost surely, 2^460286400 is an apocalyptic number.

460286400 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 460286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933541440).

460286400 is an abundant number, since it is smaller than the sum of its proper divisors (1406796480).

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

460286400 is a wasteful number, since it uses less digits than its factorization.

460286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 460286400 is about 21454.2862850294. The cubic root of 460286400 is about 772.1044361026.

The spelling of 460286400 in words is "four hundred sixty million, two hundred eighty-six thousand, four hundred".