427620600 has 384 divisors, whose sum is σ = 1682035200. Its totient is φ = 98841600.

The previous prime is 427620587. The next prime is 427620619. The reversal of 427620600 is 6026724.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1366044 + ... + 1366356.

It is an arithmetic number, because the mean of its divisors is an integer number (4380300).

Almost surely, 2^427620600 is an apocalyptic number.

427620600 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 427620600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841017600).

427620600 is an abundant number, since it is smaller than the sum of its proper divisors (1254414600).

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

427620600 is a wasteful number, since it uses less digits than its factorization.

427620600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 427620600 is about 20678.9893370058. The cubic root of 427620600 is about 753.3894590148.

The spelling of 427620600 in words is "four hundred twenty-seven million, six hundred twenty thousand, six hundred".