147430800 has 480 divisors, whose sum is σ = 614424960. Its totient is φ = 33177600.

The previous prime is 147430781. The next prime is 147430807. The reversal of 147430800 is 8034741.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (147430807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2019564 + ... + 2019636.

It is an arithmetic number, because the mean of its divisors is an integer number (1280052).

Almost surely, 2^147430800 is an apocalyptic number.

147430800 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 147430800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307212480).

147430800 is an abundant number, since it is smaller than the sum of its proper divisors (466994160).

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

147430800 is a wasteful number, since it uses less digits than its factorization.

147430800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 147430800 is about 12142.1085483535. The cubic root of 147430800 is about 528.2782624175.

The spelling of 147430800 in words is "one hundred forty-seven million, four hundred thirty thousand, eight hundred".