459196452000 has 2880 divisors, whose sum is σ = 2152268550432. Its totient is φ = 94887936000.

The previous prime is 459196451981. The next prime is 459196452047. The reversal of 459196452000 is 254691954.

459196452000 is a `hidden beast` number, since 4 + 5 + 9 + 196 + 452 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 9722748816 + 449473703184 = 98604^2 + 670428^2 .

It is a super-2 number, since 2×459196452000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8664083974 + ... + 8664084026.

Almost surely, 2^459196452000 is an apocalyptic number.

459196452000 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 459196452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076134275216).

459196452000 is an abundant number, since it is smaller than the sum of its proper divisors (1693072098432).

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

459196452000 is a wasteful number, since it uses less digits than its factorization.

459196452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 459196452000 in words is "four hundred fifty-nine billion, one hundred ninety-six million, four hundred fifty-two thousand".