32460480 has 336 divisors, whose sum is σ = 131003040. Its totient is φ = 7520256.

The previous prime is 32460469. The next prime is 32460487. The reversal of 32460480 is 8406423.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (32460487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1909432 + ... + 1909448.

It is an arithmetic number, because the mean of its divisors is an integer number (389890).

Almost surely, 2^32460480 is an apocalyptic number.

32460480 is a gapful number since it is divisible by the number (30) 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 32460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65501520).

32460480 is an abundant number, since it is smaller than the sum of its proper divisors (98542560).

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

32460480 is a wasteful number, since it uses less digits than its factorization.

32460480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32460480 is about 5697.4099378577. The cubic root of 32460480 is about 318.9958103897.

The spelling of 32460480 in words is "thirty-two million, four hundred sixty thousand, four hundred eighty".