427095360 has 168 divisors, whose sum is σ = 1505276136. Its totient is φ = 111083520.

The previous prime is 427095337. The next prime is 427095373. The reversal of 427095360 is 63590724.

It can be written as a sum of positive squares in 4 ways, for example, as 41679936 + 385415424 = 6456^2 + 19632^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116272 + ... + 119888.

It is an arithmetic number, because the mean of its divisors is an integer number (8959977).

Almost surely, 2^427095360 is an apocalyptic number.

427095360 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 427095360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752638068).

427095360 is an abundant number, since it is smaller than the sum of its proper divisors (1078180776).

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

427095360 is a wasteful number, since it uses less digits than its factorization.

427095360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 427095360 is about 20666.2855878844. The cubic root of 427095360 is about 753.0808736277.

The spelling of 427095360 in words is "four hundred twenty-seven million, ninety-five thousand, three hundred sixty".