47258400 has 288 divisors, whose sum is σ = 183738240. Its totient is φ = 10321920.

The previous prime is 47258389. The next prime is 47258411. The reversal of 47258400 is 485274.

It is an interprime number because it is at equal distance from previous prime (47258389) and next prime (47258411).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 487152 + ... + 487248.

It is an arithmetic number, because the mean of its divisors is an integer number (637980).

Almost surely, 2^47258400 is an apocalyptic number.

47258400 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 47258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91869120).

47258400 is an abundant number, since it is smaller than the sum of its proper divisors (136479840).

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

47258400 is a wasteful number, since it uses less digits than its factorization.

47258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 47258400 is about 6874.4745253728. The cubic root of 47258400 is about 361.5427618437.

It can be divided in two parts, 4725 and 8400, that multiplied together give a square (39690000 = 6300²).

The spelling of 47258400 in words is "forty-seven million, two hundred fifty-eight thousand, four hundred".