48001464 has 128 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 13433472.

The previous prime is 48001439. The next prime is 48001493. The reversal of 48001464 is 46410084.

It is a super-2 number, since 2×48001464² = 4608281092286592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79837 + ... + 80435.

It is an arithmetic number, because the mean of its divisors is an integer number (1215000).

Almost surely, 2^48001464 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 48001464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

48001464 is an abundant number, since it is smaller than the sum of its proper divisors (107518536).

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

48001464 is a wasteful number, since it uses less digits than its factorization.

48001464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 48001464 is about 6928.3088845692. The cubic root of 48001464 is about 363.4278133407.

The spelling of 48001464 in words is "forty-eight million, one thousand, four hundred sixty-four".