405153640 has 16 divisors (see below), whose sum is σ = 911595780. Its totient is φ = 162061440.

The previous prime is 405153613. The next prime is 405153641. The reversal of 405153640 is 46351504.

It can be written as a sum of positive squares in 2 ways, for example, as 404572996 + 580644 = 20114^2 + 762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405153599 and 405153608.

It is not an unprimeable number, because it can be changed into a prime (405153641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5064381 + ... + 5064460.

Almost surely, 2^405153640 is an apocalyptic number.

405153640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405153640 is an abundant number, since it is smaller than the sum of its proper divisors (506442140).

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

405153640 is a wasteful number, since it uses less digits than its factorization.

405153640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10128852 (or 10128848 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 405153640 is about 20128.4286520334. The cubic root of 405153640 is about 739.9571682051.

The spelling of 405153640 in words is "four hundred five million, one hundred fifty-three thousand, six hundred forty".