46762464 has 72 divisors (see below), whose sum is σ = 142806888. Its totient is φ = 13359360.

The previous prime is 46762459. The next prime is 46762489. The reversal of 46762464 is 46426764.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 267 + ... + 9674.

It is an arithmetic number, because the mean of its divisors is an integer number (1983429).

Almost surely, 2^46762464 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 46762464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71403444).

46762464 is an abundant number, since it is smaller than the sum of its proper divisors (96044424).

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

46762464 is a wasteful number, since it uses less digits than its factorization.

46762464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9953 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 46762464 is about 6838.3085627953. The cubic root of 46762464 is about 360.2736191427.

It can be divided in two parts, 4676 and 2464, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 46762464 in words is "forty-six million, seven hundred sixty-two thousand, four hundred sixty-four".