1478240400 has 240 divisors, whose sum is σ = 5828488064. Its totient is φ = 311869440.

The previous prime is 1478240371. The next prime is 1478240459. The reversal of 1478240400 is 40428741.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 102432 + ... + 115968.

Almost surely, 2^1478240400 is an apocalyptic number.

1478240400 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 1478240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914244032).

1478240400 is an abundant number, since it is smaller than the sum of its proper divisors (4350247664).

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

1478240400 is a wasteful number, since it uses less digits than its factorization.

1478240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13578 (or 13567 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1478240400 is about 38447.8920098359. The cubic root of 1478240400 is about 1139.1520317683.

The spelling of 1478240400 in words is "one billion, four hundred seventy-eight million, two hundred forty thousand, four hundred".