1402948800 has 504 divisors, whose sum is σ = 5770760112. Its totient is φ = 319488000.

The previous prime is 1402948793. The next prime is 1402948891. The reversal of 1402948800 is 88492041.

It is a super-3 number, since 3×1402948800³ (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2692540 + ... + 2693060.

Almost surely, 2^1402948800 is an apocalyptic number.

1402948800 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 1402948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885380056).

1402948800 is an abundant number, since it is smaller than the sum of its proper divisors (4367811312).

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

1402948800 is a wasteful number, since it uses less digits than its factorization.

1402948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1402948800 is about 37455.9581375247. The cubic root of 1402948800 is about 1119.4738174609.

The spelling of 1402948800 in words is "one billion, four hundred two million, nine hundred forty-eight thousand, eight hundred".