948276400 has 60 divisors (see below), whose sum is σ = 2286557272. Its totient is φ = 377925120.

The previous prime is 948276397. The next prime is 948276403. The reversal of 948276400 is 4672849.

It is an interprime number because it is at equal distance from previous prime (948276397) and next prime (948276403).

It is a super-4 number, since 4×948276400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (948276403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109012 + ... + 117388.

Almost surely, 2^948276400 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 948276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143278636).

948276400 is an abundant number, since it is smaller than the sum of its proper divisors (1338280872).

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

948276400 is a wasteful number, since it uses less digits than its factorization.

948276400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 8667 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 948276400 is about 30794.0968368939. The cubic root of 948276400 is about 982.4526930024.

It can be divided in two parts, 948276 and 400, that added together give a square (948676 = 974²).

The spelling of 948276400 in words is "nine hundred forty-eight million, two hundred seventy-six thousand, four hundred".