47024640 has 240 divisors, whose sum is σ = 176504328. Its totient is φ = 11501568.

The previous prime is 47024633. The next prime is 47024641. The reversal of 47024640 is 4642074.

It can be written as a sum of positive squares in 4 ways, for example, as 24443136 + 22581504 = 4944^2 + 4752^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×47024640² = 4422633534259200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47024641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299442 + ... + 299598.

Almost surely, 2^47024640 is an apocalyptic number.

47024640 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 47024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88252164).

47024640 is an abundant number, since it is smaller than the sum of its proper divisors (129479688).

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

47024640 is a wasteful number, since it uses less digits than its factorization.

47024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 47024640 is about 6857.4514216289. The cubic root of 47024640 is about 360.9456618720.

The spelling of 47024640 in words is "forty-seven million, twenty-four thousand, six hundred forty".