47760480 has 144 divisors (see below), whose sum is σ = 172658304. Its totient is φ = 11980800.

The previous prime is 47760439. The next prime is 47760521. The reversal of 47760480 is 8406774.

It is a happy number.

47760480 is a `hidden beast` number, since 47 + 7 + 604 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47760439) and next prime (47760521).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 23505 + ... + 25455.

It is an arithmetic number, because the mean of its divisors is an integer number (1199016).

Almost surely, 2^47760480 is an apocalyptic number.

47760480 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 47760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86329152).

47760480 is an abundant number, since it is smaller than the sum of its proper divisors (124897824).

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

47760480 is a wasteful number, since it uses less digits than its factorization.

47760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1989 (or 1978 counting only the distinct ones).

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

The square root of 47760480 is about 6910.8957451260. The cubic root of 47760480 is about 362.8186148417.

The spelling of 47760480 in words is "forty-seven million, seven hundred sixty thousand, four hundred eighty".