46694400 has 192 divisors, whose sum is σ = 162526800. Its totient is φ = 11796480.

The previous prime is 46694399. The next prime is 46694411. The reversal of 46694400 is 449664.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2457591 + ... + 2457609.

Almost surely, 2^46694400 is an apocalyptic number.

46694400 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 46694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81263400).

46694400 is an abundant number, since it is smaller than the sum of its proper divisors (115832400).

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

46694400 is an equidigital number, since it uses as much as digits as its factorization.

46694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 46694400 is about 6833.3300813000. The cubic root of 46694400 is about 360.0987383483.

The spelling of 46694400 in words is "forty-six million, six hundred ninety-four thousand, four hundred".