47964280 has 64 divisors (see below), whose sum is σ = 132834240. Its totient is φ = 15178752.

The previous prime is 47964271. The next prime is 47964281. The reversal of 47964280 is 8246974.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47964281) by changing a digit.

It is a nontrivial repunit in base 363.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2949 + ... + 10228.

It is an arithmetic number, because the mean of its divisors is an integer number (2075535).

Almost surely, 2^47964280 is an apocalyptic number.

47964280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47964280 is an abundant number, since it is smaller than the sum of its proper divisors (84869960).

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

47964280 is a wasteful number, since it uses less digits than its factorization.

47964280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13208 (or 13204 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 47964280 is about 6925.6248815540. The cubic root of 47964280 is about 363.3339468235. Note that the first 3 decimals are identical.

The spelling of 47964280 in words is "forty-seven million, nine hundred sixty-four thousand, two hundred eighty".