48291264 has 252 divisors, whose sum is σ = 169392600. Its totient is φ = 13095936.

The previous prime is 48291263. The next prime is 48291307. The reversal of 48291264 is 46219284.

It is a tau number, because it is divible by the number of its divisors (252).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48291263) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 818467 + ... + 818525.

Almost surely, 2^48291264 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 48291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84696300).

48291264 is an abundant number, since it is smaller than the sum of its proper divisors (121101336).

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

48291264 is a wasteful number, since it uses less digits than its factorization.

48291264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

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

The square root of 48291264 is about 6949.1916076620. The cubic root of 48291264 is about 364.1577225754.

The spelling of 48291264 in words is "forty-eight million, two hundred ninety-one thousand, two hundred sixty-four".