1408957440 has 352 divisors, whose sum is σ = 5093591040. Its totient is φ = 329318400.

The previous prime is 1408957427. The next prime is 1408957469. The reversal of 1408957440 is 447598041.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×1408957440² = 3970322135462707200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1408957392 and 1408957401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5237626 + ... + 5237894.

Almost surely, 2^1408957440 is an apocalyptic number.

1408957440 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 1408957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546795520).

1408957440 is an abundant number, since it is smaller than the sum of its proper divisors (3684633600).

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

1408957440 is a wasteful number, since it uses less digits than its factorization.

1408957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 1408957440 is about 37536.0818413430. The cubic root of 1408957440 is about 1121.0697262649.

The spelling of 1408957440 in words is "one billion, four hundred eight million, nine hundred fifty-seven thousand, four hundred forty".