230949504 has 192 divisors, whose sum is σ = 712857600. Its totient is φ = 71608320.

The previous prime is 230949497. The next prime is 230949547. The reversal of 230949504 is 405949032.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1035537 + ... + 1035759.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^230949504 is an apocalyptic number.

230949504 is a gapful number since it is divisible by the number (24) 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 230949504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

230949504 is an abundant number, since it is smaller than the sum of its proper divisors (481908096).

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

230949504 is a wasteful number, since it uses less digits than its factorization.

230949504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 230949504 is about 15197.0228663380. The cubic root of 230949504 is about 613.5345317650.

The spelling of 230949504 in words is "two hundred thirty million, nine hundred forty-nine thousand, five hundred four".