1405990560 has 192 divisors, whose sum is σ = 4806829440. Its totient is φ = 343388160.

The previous prime is 1405990463. The next prime is 1405990561. The reversal of 1405990560 is 650995041.

1405990560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1405990560² = 3953618909618227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1405990561) 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, 866550 + ... + 868170.

It is an arithmetic number, because the mean of its divisors is an integer number (25035570).

Almost surely, 2^1405990560 is an apocalyptic number.

1405990560 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 1405990560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403414720).

1405990560 is an abundant number, since it is smaller than the sum of its proper divisors (3400838880).

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

1405990560 is a wasteful number, since it uses less digits than its factorization.

1405990560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 1405990560 is about 37496.5406404378. The cubic root of 1405990560 is about 1120.2822842894.

The spelling of 1405990560 in words is "one billion, four hundred five million, nine hundred ninety thousand, five hundred sixty".