405225648 has 120 divisors (see below), whose sum is σ = 1165546928. Its totient is φ = 131383296.

The previous prime is 405225637. The next prime is 405225649. The reversal of 405225648 is 846522504.

It is a happy number.

405225648 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 2 + 5 + 648 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405225649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935640 + ... + 936072.

Almost surely, 2^405225648 is an apocalyptic number.

405225648 is a gapful number since it is divisible by the number (48) 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 405225648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582773464).

405225648 is an abundant number, since it is smaller than the sum of its proper divisors (760321280).

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

405225648 is a wasteful number, since it uses less digits than its factorization.

405225648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 405225648 is about 20130.2172864577. The cubic root of 405225648 is about 740.0010031640.

The spelling of 405225648 in words is "four hundred five million, two hundred twenty-five thousand, six hundred forty-eight".