46563264 has 84 divisors (see below), whose sum is σ = 145618200. Its totient is φ = 14108160.

The previous prime is 46563263. The next prime is 46563277. The reversal of 46563264 is 46236564.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46563263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (1733550).

Almost surely, 2^46563264 is an apocalyptic number.

46563264 is a gapful number since it is divisible by the number (44) 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 46563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72809100).

46563264 is an abundant number, since it is smaller than the sum of its proper divisors (99054936).

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

46563264 is a wasteful number, since it uses less digits than its factorization.

46563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7365 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 46563264 is about 6823.7280133370. The cubic root of 46563264 is about 359.7613232760.

The spelling of 46563264 in words is "forty-six million, five hundred sixty-three thousand, two hundred sixty-four".