46094400 has 336 divisors, whose sum is σ = 185196480. Its totient is φ = 11059200.

The previous prime is 46094381. The next prime is 46094413. The reversal of 46094400 is 449064.

It is a super-2 number, since 2×46094400² = 4249387422720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 475152 + ... + 475248.

It is an arithmetic number, because the mean of its divisors is an integer number (551180).

Almost surely, 2^46094400 is an apocalyptic number.

46094400 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 46094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92598240).

46094400 is an abundant number, since it is smaller than the sum of its proper divisors (139102080).

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

46094400 is a wasteful number, since it uses less digits than its factorization.

46094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46094400 is about 6789.2856767115. The cubic root of 46094400 is about 358.5497208747.

It can be divided in two parts, 4609 and 4400, that added together give a palindrome (9009).

The spelling of 46094400 in words is "forty-six million, ninety-four thousand, four hundred".