47254800 has 120 divisors (see below), whose sum is σ = 154436544. Its totient is φ = 12346880.

The previous prime is 47254799. The next prime is 47254813. The reversal of 47254800 is 845274.

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

It is a super-2 number, since 2×47254800² = 4466032246080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 63229 + ... + 63971.

Almost surely, 2^47254800 is an apocalyptic number.

47254800 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 47254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77218272).

47254800 is an abundant number, since it is smaller than the sum of its proper divisors (107181744).

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

47254800 is a wasteful number, since it uses less digits than its factorization.

47254800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 806 counting only the distinct ones).

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

The square root of 47254800 is about 6874.2126821913. The cubic root of 47254800 is about 361.5335812042.

The spelling of 47254800 in words is "forty-seven million, two hundred fifty-four thousand, eight hundred".