405055440 has 60 divisors (see below), whose sum is σ = 1360313604. Its totient is φ = 108014592.

The previous prime is 405055421. The next prime is 405055459. The reversal of 405055440 is 44550504.

It is an interprime number because it is at equal distance from previous prime (405055421) and next prime (405055459).

It can be written as a sum of positive squares in 2 ways, for example, as 122412096 + 282643344 = 11064^2 + 16812^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280569 + ... + 282008.

Almost surely, 2^405055440 is an apocalyptic number.

405055440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405055440 is an abundant number, since it is smaller than the sum of its proper divisors (955258164).

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

405055440 is a wasteful number, since it uses less digits than its factorization.

405055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562596 (or 562587 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 405055440 is about 20125.9891682372. The cubic root of 405055440 is about 739.8973804619.

The spelling of 405055440 in words is "four hundred five million, fifty-five thousand, four hundred forty".