1479542400 has 576 divisors, whose sum is σ = 6215227200. Its totient is φ = 328089600.

The previous prime is 1479542399. The next prime is 1479542423. The reversal of 1479542400 is 42459741.

It is a happy number.

1479542400 is a `hidden beast` number, since 1 + 4 + 79 + 542 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8265511 + ... + 8265689.

It is an arithmetic number, because the mean of its divisors is an integer number (10790325).

Almost surely, 2^1479542400 is an apocalyptic number.

1479542400 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 1479542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107613600).

1479542400 is an abundant number, since it is smaller than the sum of its proper divisors (4735684800).

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

1479542400 is a wasteful number, since it uses less digits than its factorization.

1479542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1479542400 is about 38464.8202907540. The cubic root of 1479542400 is about 1139.4863798913.

The spelling of 1479542400 in words is "one billion, four hundred seventy-nine million, five hundred forty-two thousand, four hundred".