32406480 has 120 divisors (see below), whose sum is σ = 112930272. Its totient is φ = 8636544.

The previous prime is 32406449. The next prime is 32406497. The reversal of 32406480 is 8460423.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×32406480³ (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

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, 18607 + ... + 20273.

Almost surely, 2^32406480 is an apocalyptic number.

32406480 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 32406480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56465136).

32406480 is an abundant number, since it is smaller than the sum of its proper divisors (80523792).

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

32406480 is a wasteful number, since it uses less digits than its factorization.

32406480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1677 counting only the distinct ones).

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

The square root of 32406480 is about 5692.6689698243. The cubic root of 32406480 is about 318.8188225094.

The spelling of 32406480 in words is "thirty-two million, four hundred six thousand, four hundred eighty".