46266400 has 72 divisors (see below), whose sum is σ = 113992704. Its totient is φ = 18336000.

The previous prime is 46266379. The next prime is 46266419. The reversal of 46266400 is 466264.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120609 + ... + 120991.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^46266400 is an apocalyptic number.

46266400 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 46266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56996352).

46266400 is an abundant number, since it is smaller than the sum of its proper divisors (67726304).

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

46266400 is a wasteful number, since it uses less digits than its factorization.

46266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 46266400 is about 6801.9408994786. The cubic root of 46266400 is about 358.9951401540.

It can be divided in two parts, 4626 and 6400, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 46266400 in words is "forty-six million, two hundred sixty-six thousand, four hundred".