48646440 has 128 divisors (see below), whose sum is σ = 167500800. Its totient is φ = 12545280.

The previous prime is 48646399. The next prime is 48646487. The reversal of 48646440 is 4464684.

48646440 is a `hidden beast` number, since 4 + 8 + 6 + 4 + 644 + 0 = 666.

It is a super-2 number, since 2×48646440² = 4732952249347200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48646395 and 48646404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32754 + ... + 34206.

It is an arithmetic number, because the mean of its divisors is an integer number (1308600).

Almost surely, 2^48646440 is an apocalyptic number.

48646440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48646440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83750400).

48646440 is an abundant number, since it is smaller than the sum of its proper divisors (118854360).

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

48646440 is a wasteful number, since it uses less digits than its factorization.

48646440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 48646440 is about 6974.6999935481. The cubic root of 48646440 is about 365.0483203683.

The spelling of 48646440 in words is "forty-eight million, six hundred forty-six thousand, four hundred forty".