1408240560 has 160 divisors (see below), whose sum is σ = 4638131712. Its totient is φ = 352235520.

The previous prime is 1408240541. The next prime is 1408240567. The reversal of 1408240560 is 650428041.

It is a super-2 number, since 2×1408240560² = 3966282949658227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1408240567) 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, 2231445 + ... + 2232075.

Almost surely, 2^1408240560 is an apocalyptic number.

1408240560 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 1408240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319065856).

1408240560 is an abundant number, since it is smaller than the sum of its proper divisors (3229891152).

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

1408240560 is a wasteful number, since it uses less digits than its factorization.

1408240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1408240560 is about 37526.5314144540. The cubic root of 1408240560 is about 1120.8795599323.

The spelling of 1408240560 in words is "one billion, four hundred eight million, two hundred forty thousand, five hundred sixty".