47733840 has 480 divisors, whose sum is σ = 213736320. Its totient is φ = 9676800.

The previous prime is 47733821. The next prime is 47733857. The reversal of 47733840 is 4833774.

It is a super-2 number, since 2×47733840² = 4557038962291200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 47733795 and 47733804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1164220 + ... + 1164260.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 2^47733840 is an apocalyptic number.

47733840 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 47733840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106868160).

47733840 is an abundant number, since it is smaller than the sum of its proper divisors (166002480).

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

47733840 is a wasteful number, since it uses less digits than its factorization.

47733840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 47733840 is about 6908.9680850327. The cubic root of 47733840 is about 362.7511442361.

The spelling of 47733840 in words is "forty-seven million, seven hundred thirty-three thousand, eight hundred forty".