23284464 has 120 divisors (see below), whose sum is σ = 72412032. Its totient is φ = 6314880.

The previous prime is 23284463. The next prime is 23284501. The reversal of 23284464 is 46448232.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177679 + ... + 177809.

Almost surely, 2^23284464 is an apocalyptic number.

23284464 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 23284464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36206016).

23284464 is an abundant number, since it is smaller than the sum of its proper divisors (49127568).

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

23284464 is a wasteful number, since it uses less digits than its factorization.

23284464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 166 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 23284464 is about 4825.3978074352. The cubic root of 23284464 is about 285.5543289413.

The spelling of 23284464 in words is "twenty-three million, two hundred eighty-four thousand, four hundred sixty-four".