403461864 has 128 divisors (see below), whose sum is σ = 1230163200. Its totient is φ = 121754880.

The previous prime is 403461859. The next prime is 403461881. The reversal of 403461864 is 468164304.

403461864 is a `hidden beast` number, since 4 + 0 + 34 + 618 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147469 + ... + 150179.

It is an arithmetic number, because the mean of its divisors is an integer number (9610650).

Almost surely, 2^403461864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 403461864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615081600).

403461864 is an abundant number, since it is smaller than the sum of its proper divisors (826701336).

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

403461864 is a wasteful number, since it uses less digits than its factorization.

403461864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 403461864 is about 20086.3601481204. The cubic root of 403461864 is about 738.9257995904.

The spelling of 403461864 in words is "four hundred three million, four hundred sixty-one thousand, eight hundred sixty-four".