47407360 has 288 divisors, whose sum is σ = 156586752. Its totient is φ = 13271040.

The previous prime is 47407333. The next prime is 47407379. The reversal of 47407360 is 6370474.

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, 1281262 + ... + 1281298.

It is an arithmetic number, because the mean of its divisors is an integer number (543704).

It is a vampire number, since it can be written as 6734 ⋅ 7040 (with its own digits).

Almost surely, 2^47407360 is an apocalyptic number.

47407360 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 47407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

47407360 is an abundant number, since it is smaller than the sum of its proper divisors (109179392).

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

47407360 is a wasteful number, since it uses less digits than its factorization.

47407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 47407360 is about 6885.3002839382. The cubic root of 47407360 is about 361.9222282385.

It can be divided in two parts, 4740 and 7360, that added together give a square (12100 = 110²).

The spelling of 47407360 in words is "forty-seven million, four hundred seven thousand, three hundred sixty".