427112400 has 480 divisors, whose sum is σ = 1704890880. Its totient is φ = 89856000.

The previous prime is 427112383. The next prime is 427112417. The reversal of 427112400 is 4211724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427112383) and next prime (427112417).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3260335 + ... + 3260465.

It is an arithmetic number, because the mean of its divisors is an integer number (3551856).

Almost surely, 2^427112400 is an apocalyptic number.

427112400 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 427112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852445440).

427112400 is an abundant number, since it is smaller than the sum of its proper divisors (1277778480).

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

427112400 is a wasteful number, since it uses less digits than its factorization.

427112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 427112400 is about 20666.6978494388. The cubic root of 427112400 is about 753.0908888208.

The spelling of 427112400 in words is "four hundred twenty-seven million, one hundred twelve thousand, four hundred".