405265440 has 192 divisors, whose sum is σ = 1381242240. Its totient is φ = 99532800.

The previous prime is 405265439. The next prime is 405265457. The reversal of 405265440 is 44562504.

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 = 405265398 and 405265407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336840 + ... + 338040.

It is an arithmetic number, because the mean of its divisors is an integer number (7193970).

Almost surely, 2^405265440 is an apocalyptic number.

405265440 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 405265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690621120).

405265440 is an abundant number, since it is smaller than the sum of its proper divisors (975976800).

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

405265440 is a wasteful number, since it uses less digits than its factorization.

405265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 405265440 is about 20131.2056270855. The cubic root of 405265440 is about 740.0252243654.

The spelling of 405265440 in words is "four hundred five million, two hundred sixty-five thousand, four hundred forty".