406704480 has 192 divisors, whose sum is σ = 1576931328. Its totient is φ = 85800960.

The previous prime is 406704479. The next prime is 406704491. The reversal of 406704480 is 84407604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39025 + ... + 48335.

It is an arithmetic number, because the mean of its divisors is an integer number (8213184).

Almost surely, 2^406704480 is an apocalyptic number.

406704480 is a gapful number since it is divisible by the number (40) 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 406704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788465664).

406704480 is an abundant number, since it is smaller than the sum of its proper divisors (1170226848).

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

406704480 is a wasteful number, since it uses less digits than its factorization.

406704480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9349 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 406704480 is about 20166.9154805587. The cubic root of 406704480 is about 740.9000978086.

It can be divided in two parts, 40670 and 4480, that added together give a triangular number (45150 = T₃₀₀).

The spelling of 406704480 in words is "four hundred six million, seven hundred four thousand, four hundred eighty".