46405434600 has 960 divisors, whose sum is σ = 193803667200. Its totient is φ = 10067742720.

The previous prime is 46405434587. The next prime is 46405434611. The reversal of 46405434600 is 643450464.

46405434600 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 5 + 43 + 4 + 600 = 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 239 ways as a sum of consecutive naturals, for example, 338725732 + ... + 338725868.

It is an arithmetic number, because the mean of its divisors is an integer number (201878820).

Almost surely, 2^46405434600 is an apocalyptic number.

46405434600 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 46405434600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96901833600).

46405434600 is an abundant number, since it is smaller than the sum of its proper divisors (147398232600).

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

46405434600 is a wasteful number, since it uses less digits than its factorization.

46405434600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 46405434600 in words is "forty-six billion, four hundred five million, four hundred thirty-four thousand, six hundred".