427714400 has 72 divisors (see below), whose sum is σ = 1048995360. Its totient is φ = 170293760.

The previous prime is 427714367. The next prime is 427714433. The reversal of 427714400 is 4417724.

It is an interprime number because it is at equal distance from previous prime (427714367) and next prime (427714433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190082 + ... + 192318.

It is an arithmetic number, because the mean of its divisors is an integer number (14569380).

Almost surely, 2^427714400 is an apocalyptic number.

427714400 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 427714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524497680).

427714400 is an abundant number, since it is smaller than the sum of its proper divisors (621280960).

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

427714400 is a wasteful number, since it uses less digits than its factorization.

427714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 29.

The square root of 427714400 is about 20681.2572151695. The cubic root of 427714400 is about 753.4445411482. Note that the first 3 decimals are identical.

Subtracting from 427714400 its product of nonzero digits (6272), we obtain a triangular number (427708128 = T₂₉₂₄₇).

The spelling of 427714400 in words is "four hundred twenty-seven million, seven hundred fourteen thousand, four hundred".