1472976000 has 384 divisors, whose sum is σ = 5417558640. Its totient is φ = 383385600.

The previous prime is 1472975983. The next prime is 1472976013. The reversal of 1472976000 is 6792741.

1472976000 = 121³ + 122³ + ... + 279³.

It is a happy number.

1472976000 is a `hidden beast` number, since 1 + 47 + 2 + 9 + 7 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 36869184 + 1436106816 = 6072^2 + 37896^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 7631904 + ... + 7632096.

Almost surely, 2^1472976000 is an apocalyptic number.

1472976000 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 1472976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708779320).

1472976000 is an abundant number, since it is smaller than the sum of its proper divisors (3944582640).

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

1472976000 is a wasteful number, since it uses less digits than its factorization.

1472976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1472976000 is about 38379.3694580826. The cubic root of 1472976000 is about 1137.7981507221.

The spelling of 1472976000 in words is "one billion, four hundred seventy-two million, nine hundred seventy-six thousand".