405924240 has 160 divisors (see below), whose sum is σ = 1324486656. Its totient is φ = 102643200.

The previous prime is 405924221. The next prime is 405924247. The reversal of 405924240 is 42429504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 405924198 and 405924207.

It is not an unprimeable number, because it can be changed into a prime (405924247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 833277 + ... + 833763.

Almost surely, 2^405924240 is an apocalyptic number.

405924240 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 405924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662243328).

405924240 is an abundant number, since it is smaller than the sum of its proper divisors (918562416).

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

405924240 is a wasteful number, since it uses less digits than its factorization.

405924240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 405924240 is about 20147.5616390669. The cubic root of 405924240 is about 740.4260025816.

The spelling of 405924240 in words is "four hundred five million, nine hundred twenty-four thousand, two hundred forty".