47964840 has 256 divisors, whose sum is σ = 186624000. Its totient is φ = 9569280.

The previous prime is 47964827. The next prime is 47964877. The reversal of 47964840 is 4846974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 47964792 and 47964801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267871 + ... + 268049.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^47964840 is an apocalyptic number.

47964840 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 47964840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

47964840 is an abundant number, since it is smaller than the sum of its proper divisors (138659160).

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

47964840 is a wasteful number, since it uses less digits than its factorization.

47964840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 47964840 is about 6925.6653110008. The cubic root of 47964840 is about 363.3353608356.

The spelling of 47964840 in words is "forty-seven million, nine hundred sixty-four thousand, eight hundred forty".