47096400 has 120 divisors (see below), whose sum is σ = 162524320. Its totient is φ = 11589120.

The previous prime is 47096363. The next prime is 47096407. The reversal of 47096400 is 469074.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47096407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14091 + ... + 17109.

Almost surely, 2^47096400 is an apocalyptic number.

47096400 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 47096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81262160).

47096400 is an abundant number, since it is smaller than the sum of its proper divisors (115427920).

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

47096400 is a wasteful number, since it uses less digits than its factorization.

47096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 47096400 is about 6862.6816915838. The cubic root of 47096400 is about 361.1291706068.

The spelling of 47096400 in words is "forty-seven million, ninety-six thousand, four hundred".