427190400 has 576 divisors, whose sum is σ = 1887587520. Its totient is φ = 89579520.

The previous prime is 427190383. The next prime is 427190429. The reversal of 427190400 is 4091724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2620719 + ... + 2620881.

Almost surely, 2^427190400 is an apocalyptic number.

427190400 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 427190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943793760).

427190400 is an abundant number, since it is smaller than the sum of its proper divisors (1460397120).

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

427190400 is a wasteful number, since it uses less digits than its factorization.

427190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 427190400 is about 20668.5848572175. The cubic root of 427190400 is about 753.1367296142.

The spelling of 427190400 in words is "four hundred twenty-seven million, one hundred ninety thousand, four hundred".