948872400 has 480 divisors, whose sum is σ = 3702048768. Its totient is φ = 203212800.

The previous prime is 948872399. The next prime is 948872401. The reversal of 948872400 is 4278849.

It is an interprime number because it is at equal distance from previous prime (948872399) and next prime (948872401).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948872401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13364365 + ... + 13364435.

Almost surely, 2^948872400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 948872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851024384).

948872400 is an abundant number, since it is smaller than the sum of its proper divisors (2753176368).

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

948872400 is a wasteful number, since it uses less digits than its factorization.

948872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 948872400 is about 30803.7724962382. The cubic root of 948872400 is about 982.6584765957.

The spelling of 948872400 in words is "nine hundred forty-eight million, eight hundred seventy-two thousand, four hundred".