48407760 has 160 divisors (see below), whose sum is σ = 169572480. Its totient is φ = 12690432.

The previous prime is 48407759. The next prime is 48407767. The reversal of 48407760 is 6770484.

It is a happy number.

It is a super-2 number, since 2×48407760² = 4686622456435200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48407767) by changing a digit.

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, 157527 + ... + 157833.

It is an arithmetic number, because the mean of its divisors is an integer number (1059828).

Almost surely, 2^48407760 is an apocalyptic number.

48407760 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 48407760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84786240).

48407760 is an abundant number, since it is smaller than the sum of its proper divisors (121164720).

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

48407760 is a wasteful number, since it uses less digits than its factorization.

48407760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48407760 is about 6957.5685408050. The cubic root of 48407760 is about 364.4503141474.

The spelling of 48407760 in words is "forty-eight million, four hundred seven thousand, seven hundred sixty".