47612400 has 120 divisors (see below), whose sum is σ = 166429824. Its totient is φ = 11539200.

The previous prime is 47612381. The next prime is 47612401. The reversal of 47612400 is 421674.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47612401) 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, 11397 + ... + 15003.

Almost surely, 2^47612400 is an apocalyptic number.

47612400 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 47612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83214912).

47612400 is an abundant number, since it is smaller than the sum of its proper divisors (118817424).

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

47612400 is a wasteful number, since it uses less digits than its factorization.

47612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 47612400 is about 6900.1739108518. The cubic root of 47612400 is about 362.4432570716.

The spelling of 47612400 in words is "forty-seven million, six hundred twelve thousand, four hundred".