47942400 has 216 divisors, whose sum is σ = 173363904. Its totient is φ = 11571200.

The previous prime is 47942387. The next prime is 47942413. The reversal of 47942400 is 424974.

It is an interprime number because it is at equal distance from previous prime (47942387) and next prime (47942413).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 211087 + ... + 211313.

Almost surely, 2^47942400 is an apocalyptic number.

47942400 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 47942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86681952).

47942400 is an abundant number, since it is smaller than the sum of its proper divisors (125421504).

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

47942400 is a wasteful number, since it uses less digits than its factorization.

47942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 47942400 is about 6924.0450605120. The cubic root of 47942400 is about 363.2786907323.

The spelling of 47942400 in words is "forty-seven million, nine hundred forty-two thousand, four hundred".