1405449360 has 400 divisors, whose sum is σ = 5668327680. Its totient is φ = 320060160.

The previous prime is 1405449343. The next prime is 1405449469. The reversal of 1405449360 is 639445041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5186025 + ... + 5186295.

Almost surely, 2^1405449360 is an apocalyptic number.

1405449360 is a gapful number since it is divisible by the number (10) 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 1405449360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834163840).

1405449360 is an abundant number, since it is smaller than the sum of its proper divisors (4262878320).

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

1405449360 is an equidigital number, since it uses as much as digits as its factorization.

1405449360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1405449360 is about 37489.3232801020. The cubic root of 1405449360 is about 1120.1385245329.

The spelling of 1405449360 in words is "one billion, four hundred five million, four hundred forty-nine thousand, three hundred sixty".