47798400 has 192 divisors, whose sum is σ = 169989120. Its totient is φ = 11735040.

The previous prime is 47798321. The next prime is 47798411. The reversal of 47798400 is 489774.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 124609 + ... + 124991.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 2^47798400 is an apocalyptic number.

47798400 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 47798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994560).

47798400 is an abundant number, since it is smaller than the sum of its proper divisors (122190720).

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

47798400 is a wasteful number, since it uses less digits than its factorization.

47798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 47798400 is about 6913.6386946383. The cubic root of 47798400 is about 362.9146108224.

The spelling of 47798400 in words is "forty-seven million, seven hundred ninety-eight thousand, four hundred".