427123600 has 60 divisors (see below), whose sum is σ = 1061578260. Its totient is φ = 164953600.

The previous prime is 427123537. The next prime is 427123607. The reversal of 427123600 is 6321724.

It can be written as a sum of positive squares in 6 ways, for example, as 20214016 + 406909584 = 4496^2 + 20172^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (427123607) 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, 6811 + ... + 30010.

It is an arithmetic number, because the mean of its divisors is an integer number (17692971).

Almost surely, 2^427123600 is an apocalyptic number.

427123600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427123600 is an abundant number, since it is smaller than the sum of its proper divisors (634454660).

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

427123600 is a wasteful number, since it uses less digits than its factorization.

427123600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36868 (or 36857 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 427123600 is about 20666.9688149956. The cubic root of 427123600 is about 753.0974714317.

The spelling of 427123600 in words is "four hundred twenty-seven million, one hundred twenty-three thousand, six hundred".