48219264 has 96 divisors (see below), whose sum is σ = 146125200. Its totient is φ = 15220224.

The previous prime is 48219263. The next prime is 48219277. The reversal of 48219264 is 46291284.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is not an unprimeable number, because it can be changed into a prime (48219263) 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, 20787 + ... + 22989.

Almost surely, 2^48219264 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 48219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73062600).

48219264 is an abundant number, since it is smaller than the sum of its proper divisors (97905936).

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

48219264 is a wasteful number, since it uses less digits than its factorization.

48219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2227 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 48219264 is about 6944.0092165837. The cubic root of 48219264 is about 363.9766518857.

The spelling of 48219264 in words is "forty-eight million, two hundred nineteen thousand, two hundred sixty-four".