1403978400 has 576 divisors, whose sum is σ = 5849625600. Its totient is φ = 321408000.

The previous prime is 1403978383. The next prime is 1403978417. The reversal of 1403978400 is 48793041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1403978383) and next prime (1403978417).

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

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 95 ways as a sum of consecutive naturals, for example, 4514245 + ... + 4514555.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^1403978400 is an apocalyptic number.

1403978400 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 1403978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

1403978400 is an abundant number, since it is smaller than the sum of its proper divisors (4445647200).

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

1403978400 is a wasteful number, since it uses less digits than its factorization.

1403978400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1403978400 is about 37469.6997586050. The cubic root of 1403978400 is about 1119.7476046909.

The spelling of 1403978400 in words is "one billion, four hundred three million, nine hundred seventy-eight thousand, four hundred".