465403080355200 has 2304 divisors, whose sum is σ = 1931232686947200. Its totient is φ = 106326935470080.

The previous prime is 465403080355133. The next prime is 465403080355223. The reversal of 465403080355200 is 2553080304564.

465403080355200 is a `hidden beast` number, since 4 + 6 + 5 + 40 + 3 + 0 + 80 + 3 + 5 + 520 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 78522534637 + ... + 78522540563.

Almost surely, 2^{465403080355200} is an apocalyptic number.

465403080355200 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 465403080355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965616343473600).

465403080355200 is an abundant number, since it is smaller than the sum of its proper divisors (1465829606592000).

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

465403080355200 is a wasteful number, since it uses less digits than its factorization.

465403080355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6040 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 465403080355200 in words is "four hundred sixty-five trillion, four hundred three billion, eighty million, three hundred fifty-five thousand, two hundred".