32450880 has 224 divisors, whose sum is σ = 128747520. Its totient is φ = 6727680.

The previous prime is 32450867. The next prime is 32450881. The reversal of 32450880 is 8805423.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×32450880³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32450881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73701 + ... + 74139.

Almost surely, 2^32450880 is an apocalyptic number.

32450880 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 32450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64373760).

32450880 is an abundant number, since it is smaller than the sum of its proper divisors (96296640).

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

32450880 is a wasteful number, since it uses less digits than its factorization.

32450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 32450880 is about 5696.5673874712. The cubic root of 32450880 is about 318.9643602312.

The spelling of 32450880 in words is "thirty-two million, four hundred fifty thousand, eight hundred eighty".