1408972840 has 64 divisors (see below), whose sum is σ = 3462341760. Its totient is φ = 511768320.

The previous prime is 1408972837. The next prime is 1408972841. The reversal of 1408972840 is 482798041.

1408972840 = 171² + 172² + ... + 1617².

It is not an unprimeable number, because it can be changed into a prime (1408972841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635574 + ... + 637786.

It is an arithmetic number, because the mean of its divisors is an integer number (54099090).

Almost surely, 2^1408972840 is an apocalyptic number.

1408972840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1408972840 is an abundant number, since it is smaller than the sum of its proper divisors (2053368920).

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

1408972840 is a wasteful number, since it uses less digits than its factorization.

1408972840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 1408972840 is about 37536.2869767376. The cubic root of 1408972840 is about 1121.0738107059.

The spelling of 1408972840 in words is "one billion, four hundred eight million, nine hundred seventy-two thousand, eight hundred forty".