1477468800 has 432 divisors, whose sum is σ = 5549515530. Its totient is φ = 374169600.

The previous prime is 1477468763. The next prime is 1477468801. The reversal of 1477468800 is 88647741.

It can be written as a sum of positive squares in 9 ways, for example, as 1065024 + 1476403776 = 1032^2 + 38424^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1477468801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 24220770 + ... + 24220830.

Almost surely, 2^1477468800 is an apocalyptic number.

1477468800 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 1477468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774757765).

1477468800 is an abundant number, since it is smaller than the sum of its proper divisors (4072046730).

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

1477468800 is a wasteful number, since it uses less digits than its factorization.

1477468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 1477468800 is about 38437.8563398117. The cubic root of 1477468800 is about 1138.9537954768.

The spelling of 1477468800 in words is "one billion, four hundred seventy-seven million, four hundred sixty-eight thousand, eight hundred".