400284648 has 144 divisors (see below), whose sum is σ = 1158917760. Its totient is φ = 124675200.

The previous prime is 400284637. The next prime is 400284653. The reversal of 400284648 is 846482004.

400284648 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 8 + 4 + 648 = 666.

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 35 ways as a sum of consecutive naturals, for example, 3055543 + ... + 3055673.

It is an arithmetic number, because the mean of its divisors is an integer number (8048040).

Almost surely, 2^400284648 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 400284648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579458880).

400284648 is an abundant number, since it is smaller than the sum of its proper divisors (758633112).

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

400284648 is a wasteful number, since it uses less digits than its factorization.

400284648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 400284648 is about 20007.1149344427. The cubic root of 400284648 is about 736.9810336529.

The spelling of 400284648 in words is "four hundred million, two hundred eighty-four thousand, six hundred forty-eight".