46264900 has 72 divisors (see below), whose sum is σ = 110680416. Its totient is φ = 16646400.

The previous prime is 46264879. The next prime is 46264921. The reversal of 46264900 is 946264.

It is an interprime number because it is at equal distance from previous prime (46264879) and next prime (46264921).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150547 + ... + 150853.

It is an arithmetic number, because the mean of its divisors is an integer number (1537228).

Almost surely, 2^46264900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46264900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55340208).

46264900 is an abundant number, since it is smaller than the sum of its proper divisors (64415516).

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

46264900 is a wasteful number, since it uses less digits than its factorization.

46264900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 46264900 is about 6801.8306359391. The cubic root of 46264900 is about 358.9912604592.

The spelling of 46264900 in words is "forty-six million, two hundred sixty-four thousand, nine hundred".