1401472800 has 1152 divisors, whose sum is σ = 6719569920. Its totient is φ = 273715200.

The previous prime is 1401472771. The next prime is 1401472847. The reversal of 1401472800 is 82741041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45208785 + ... + 45208815.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2^1401472800 is an apocalyptic number.

1401472800 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 1401472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359784960).

1401472800 is an abundant number, since it is smaller than the sum of its proper divisors (5318097120).

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

1401472800 is a wasteful number, since it uses less digits than its factorization.

1401472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1401472800 is about 37436.2498121807. The cubic root of 1401472800 is about 1119.0810915221.

The spelling of 1401472800 in words is "one billion, four hundred one million, four hundred seventy-two thousand, eight hundred".