48390480 has 160 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 12579840.

The previous prime is 48390479. The next prime is 48390491. The reversal of 48390480 is 8409384.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92620 + ... + 93140.

It is an arithmetic number, because the mean of its divisors is an integer number (1068012).

Almost surely, 2^48390480 is an apocalyptic number.

48390480 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 48390480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

48390480 is an abundant number, since it is smaller than the sum of its proper divisors (122491440).

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

48390480 is a wasteful number, since it uses less digits than its factorization.

48390480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

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

The square root of 48390480 is about 6956.3266168287. The cubic root of 48390480 is about 364.4069433398.

The spelling of 48390480 in words is "forty-eight million, three hundred ninety thousand, four hundred eighty".