427013400 has 384 divisors, whose sum is σ = 1574899200. Its totient is φ = 94617600.

The previous prime is 427013399. The next prime is 427013417. The reversal of 427013400 is 4310724.

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, 4402152 + ... + 4402248.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^427013400 is an apocalyptic number.

427013400 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 427013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787449600).

427013400 is an abundant number, since it is smaller than the sum of its proper divisors (1147885800).

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

427013400 is a wasteful number, since it uses less digits than its factorization.

427013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 427013400 is about 20664.3025529535. The cubic root of 427013400 is about 753.0326982374.

The spelling of 427013400 in words is "four hundred twenty-seven million, thirteen thousand, four hundred".