54006464 has 56 divisors (see below), whose sum is σ = 111971328. Its totient is φ = 25816320.

The previous prime is 54006451. The next prime is 54006473. The reversal of 54006464 is 46460045.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 323309 + ... + 323475.

It is an arithmetic number, because the mean of its divisors is an integer number (1999488).

Almost surely, 2^54006464 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 54006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55985664).

54006464 is an abundant number, since it is smaller than the sum of its proper divisors (57964864).

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

54006464 is a wasteful number, since it uses less digits than its factorization.

54006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 54006464 is about 7348.9090346799. The cubic root of 54006464 is about 377.9913960883.

The spelling of 54006464 in words is "fifty-four million, six thousand, four hundred sixty-four".