459375000 has 216 divisors, whose sum is σ = 1669921020. Its totient is φ = 105000000.

The previous prime is 459374987. The next prime is 459375011. The reversal of 459375000 is 573954.

It is a super-2 number, since 2×459375000² = 422050781250000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 65624997 + ... + 65625003.

Almost surely, 2^459375000 is an apocalyptic number.

459375000 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 459375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834960510).

459375000 is an abundant number, since it is smaller than the sum of its proper divisors (1210546020).

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

459375000 is an frugal number, since it uses more digits than its factorization.

459375000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 459375000 is about 21433.0352493528. The cubic root of 459375000 is about 771.5944920396.

It can be divided in two parts, 45 and 9375000, that multiplied together give a cube (421875000 = 750³).

The spelling of 459375000 in words is "four hundred fifty-nine million, three hundred seventy-five thousand".