48085464 has 96 divisors (see below), whose sum is σ = 144460800. Its totient is φ = 13285440.

The previous prime is 48085439. The next prime is 48085487. The reversal of 48085464 is 46458084.

It is a super-3 number, since 3×48085464³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35797 + ... + 37115.

It is an arithmetic number, because the mean of its divisors is an integer number (1504800).

Almost surely, 2^48085464 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 48085464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72230400).

48085464 is an abundant number, since it is smaller than the sum of its proper divisors (96375336).

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

48085464 is a wasteful number, since it uses less digits than its factorization.

48085464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 48085464 is about 6934.3683201861. The cubic root of 48085464 is about 363.6396828939.

The spelling of 48085464 in words is "forty-eight million, eighty-five thousand, four hundred sixty-four".