1408264240 has 80 divisors (see below), whose sum is σ = 3437779968. Its totient is φ = 535470848.

The previous prime is 1408264199. The next prime is 1408264261. The reversal of 1408264240 is 424628041.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304989 + ... + 309571.

Almost surely, 2^1408264240 is an apocalyptic number.

1408264240 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 1408264240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718889984).

1408264240 is an abundant number, since it is smaller than the sum of its proper divisors (2029515728).

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

1408264240 is a wasteful number, since it uses less digits than its factorization.

1408264240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4786 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 1408264240 is about 37526.8469232362. The cubic root of 1408264240 is about 1120.8858425424.

The spelling of 1408264240 in words is "one billion, four hundred eight million, two hundred sixty-four thousand, two hundred forty".