459996213600 has 3240 divisors, whose sum is σ = 2315735064720. Its totient is φ = 86858956800.

The previous prime is 459996213581. The next prime is 459996213619. The reversal of 459996213600 is 6312699954.

459996213600 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 9 + 6 + 21 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (459996213581) and next prime (459996213619).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 15861938386 + ... + 15861938414.

Almost surely, 2^459996213600 is an apocalyptic number.

459996213600 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 459996213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157867532360).

459996213600 is an abundant number, since it is smaller than the sum of its proper divisors (1855738851120).

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

459996213600 is a wasteful number, since it uses less digits than its factorization.

459996213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 459996213600 in words is "four hundred fifty-nine billion, nine hundred ninety-six million, two hundred thirteen thousand, six hundred".