1478739600 has 360 divisors, whose sum is σ = 5820738560. Its totient is φ = 344632320.

The previous prime is 1478739593. The next prime is 1478739601. The reversal of 1478739600 is 69378741.

1478739600 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 7 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (1478739601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 888369 + ... + 890031.

Almost surely, 2^1478739600 is an apocalyptic number.

1478739600 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 1478739600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910369280).

1478739600 is an abundant number, since it is smaller than the sum of its proper divisors (4341998960).

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

1478739600 is a wasteful number, since it uses less digits than its factorization.

1478739600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1478739600 is about 38454.3833652290. The cubic root of 1478739600 is about 1139.2802474257.

The spelling of 1478739600 in words is "one billion, four hundred seventy-eight million, seven hundred thirty-nine thousand, six hundred".