1472889600 has 648 divisors, whose sum is σ = 6504187872. Its totient is φ = 309657600.

The previous prime is 1472889559. The next prime is 1472889623. The reversal of 1472889600 is 69882741.

1472889600 is a `hidden beast` number, since 14 + 7 + 28 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 5241460 + ... + 5241740.

Almost surely, 2^1472889600 is an apocalyptic number.

1472889600 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 1472889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252093936).

1472889600 is an abundant number, since it is smaller than the sum of its proper divisors (5031298272).

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

1472889600 is a wasteful number, since it uses less digits than its factorization.

1472889600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1472889600 is about 38378.2438368407. The cubic root of 1472889600 is about 1137.7759037693.

The spelling of 1472889600 in words is "one billion, four hundred seventy-two million, eight hundred eighty-nine thousand, six hundred".