46406180304 has 240 divisors, whose sum is σ = 150329110464. Its totient is φ = 13207449600.

The previous prime is 46406180297. The next prime is 46406180369. The reversal of 46406180304 is 40308160464.

46406180304 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 618 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15158934 + ... + 15161994.

Almost surely, 2^46406180304 is an apocalyptic number.

46406180304 is a gapful number since it is divisible by the number (44) 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 46406180304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75164555232).

46406180304 is an abundant number, since it is smaller than the sum of its proper divisors (103922930160).

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

46406180304 is a wasteful number, since it uses less digits than its factorization.

46406180304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3657 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46406180304 in words is "forty-six billion, four hundred six million, one hundred eighty thousand, three hundred four".