1472326400 has 216 divisors, whose sum is σ = 3874835328. Its totient is φ = 552960000.

The previous prime is 1472326399. The next prime is 1472326403. The reversal of 1472326400 is 46232741.

It is not an unprimeable number, because it can be changed into a prime (1472326403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8134310 + ... + 8134490.

Almost surely, 2^1472326400 is an apocalyptic number.

1472326400 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 1472326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937417664).

1472326400 is an abundant number, since it is smaller than the sum of its proper divisors (2402508928).

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

1472326400 is a wasteful number, since it uses less digits than its factorization.

1472326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 1472326400 is about 38370.9056447721. The cubic root of 1472326400 is about 1137.6308652723.

The spelling of 1472326400 in words is "one billion, four hundred seventy-two million, three hundred twenty-six thousand, four hundred".