1473024400 has 135 divisors (see below), whose sum is σ = 3772350723. Its totient is φ = 552672000.

The previous prime is 1473024361. The next prime is 1473024403. The reversal of 1473024400 is 44203741.

The square root of 1473024400 is 38380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 271986064 + 1201038336 = 16492^2 + 34656^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1473024403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14584350 + ... + 14584450.

Almost surely, 2^1473024400 is an apocalyptic number.

1473024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1473024400 is the 38380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1473024400

1473024400 is an abundant number, since it is smaller than the sum of its proper divisors (2299326323).

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

1473024400 is a wasteful number, since it uses less digits than its factorization.

1473024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The cubic root of 1473024400 is about 1137.8106127553.

Multiplying 1473024400 by its sum of digits (25), we get a square (36825610000 = 191900²).

1473024400 divided by its sum of digits (25) gives a square (58920976 = 7676²).

The spelling of 1473024400 in words is "one billion, four hundred seventy-three million, twenty-four thousand, four hundred".