48465120 has 192 divisors, whose sum is σ = 170263296. Its totient is φ = 11489280.

The previous prime is 48465091. The next prime is 48465133. The reversal of 48465120 is 2156484.

It is a super-2 number, since 2×48465120² = 4697735713228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 353692 + ... + 353828.

It is an arithmetic number, because the mean of its divisors is an integer number (886788).

Almost surely, 2^48465120 is an apocalyptic number.

48465120 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 48465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85131648).

48465120 is an abundant number, since it is smaller than the sum of its proper divisors (121798176).

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

48465120 is a wasteful number, since it uses less digits than its factorization.

48465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 48465120 is about 6961.6894501263. The cubic root of 48465120 is about 364.5942071823.

The spelling of 48465120 in words is "forty-eight million, four hundred sixty-five thousand, one hundred twenty".