47990400 has 96 divisors (see below), whose sum is σ = 158100000. Its totient is φ = 12794880.

The previous prime is 47990363. The next prime is 47990401. The reversal of 47990400 is 409974.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47990401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7101 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (1646875).

Almost surely, 2^47990400 is an apocalyptic number.

47990400 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 47990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79050000).

47990400 is an abundant number, since it is smaller than the sum of its proper divisors (110109600).

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

47990400 is a wasteful number, since it uses less digits than its factorization.

47990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 47990400 is about 6927.5103753080. The cubic root of 47990400 is about 363.3998886765.

The spelling of 47990400 in words is "forty-seven million, nine hundred ninety thousand, four hundred".