405599040 has 672 divisors, whose sum is σ = 1825873920. Its totient is φ = 80179200.

The previous prime is 405599003. The next prime is 405599059. The reversal of 405599040 is 40995504.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 405598986 and 405599004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6874531 + ... + 6874589.

Almost surely, 2^405599040 is an apocalyptic number.

405599040 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 405599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

405599040 is an abundant number, since it is smaller than the sum of its proper divisors (1420274880).

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

405599040 is a wasteful number, since it uses less digits than its factorization.

405599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 405599040 is about 20139.4895665208. The cubic root of 405599040 is about 740.2282227648.

The spelling of 405599040 in words is "four hundred five million, five hundred ninety-nine thousand, forty".