1400448960 has 336 divisors, whose sum is σ = 5225796000. Its totient is φ = 353009664.

The previous prime is 1400448887. The next prime is 1400448971. The reversal of 1400448960 is 698440041.

It is a happy number.

It is a super-2 number, since 2×1400448960² = 3922514579130163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3118816 + ... + 3119264.

Almost surely, 2^1400448960 is an apocalyptic number.

1400448960 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 1400448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612898000).

1400448960 is an abundant number, since it is smaller than the sum of its proper divisors (3825347040).

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

1400448960 is a wasteful number, since it uses less digits than its factorization.

1400448960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1400448960 is about 37422.5728671881. The cubic root of 1400448960 is about 1118.8085118217.

The spelling of 1400448960 in words is "one billion, four hundred million, four hundred forty-eight thousand, nine hundred sixty".