54651464 has 96 divisors (see below), whose sum is σ = 129276000. Its totient is φ = 21514752.

The previous prime is 54651439. The next prime is 54651511. The reversal of 54651464 is 46415645.

54651464 = 1032² + 1033² + ... + 1080².

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, 393107 + ... + 393245.

It is an arithmetic number, because the mean of its divisors is an integer number (1346625).

Almost surely, 2^54651464 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 54651464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638000).

54651464 is an abundant number, since it is smaller than the sum of its proper divisors (74624536).

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

54651464 is a wasteful number, since it uses less digits than its factorization.

54651464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 57600, while the sum is 35.

The square root of 54651464 is about 7392.6628490687. The cubic root of 54651464 is about 379.4902305783.

The spelling of 54651464 in words is "fifty-four million, six hundred fifty-one thousand, four hundred sixty-four".