46706400 has 216 divisors, whose sum is σ = 177723000. Its totient is φ = 11473920.

The previous prime is 46706381. The next prime is 46706431. The reversal of 46706400 is 460764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93351 + ... + 93849.

Almost surely, 2^46706400 is an apocalyptic number.

46706400 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 46706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88861500).

46706400 is an abundant number, since it is smaller than the sum of its proper divisors (131016600).

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

46706400 is a wasteful number, since it uses less digits than its factorization.

46706400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 46706400 is about 6834.2080740931. The cubic root of 46706400 is about 360.1295829803.

The spelling of 46706400 in words is "forty-six million, seven hundred six thousand, four hundred".