405572640 has 144 divisors (see below), whose sum is σ = 1404454464. Its totient is φ = 98306560.

The previous prime is 405572633. The next prime is 405572681. The reversal of 405572640 is 46275504.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 54589 + ... + 61571.

It is an arithmetic number, because the mean of its divisors is an integer number (9753156).

Almost surely, 2^405572640 is an apocalyptic number.

405572640 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 405572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702227232).

405572640 is an abundant number, since it is smaller than the sum of its proper divisors (998881824).

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

405572640 is a wasteful number, since it uses less digits than its factorization.

405572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7023 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 405572640 is about 20138.8341271286. The cubic root of 405572640 is about 740.2121621999.

The spelling of 405572640 in words is "four hundred five million, five hundred seventy-two thousand, six hundred forty".