406347480 has 384 divisors, whose sum is σ = 1674017280. Its totient is φ = 83036160.

The previous prime is 406347467. The next prime is 406347511. The reversal of 406347480 is 84743604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2965972 + ... + 2966108.

It is an arithmetic number, because the mean of its divisors is an integer number (4359420).

Almost surely, 2^406347480 is an apocalyptic number.

406347480 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 406347480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837008640).

406347480 is an abundant number, since it is smaller than the sum of its proper divisors (1267669800).

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

406347480 is a wasteful number, since it uses less digits than its factorization.

406347480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 406347480 is about 20158.0624068882. The cubic root of 406347480 is about 740.6832501320.

The spelling of 406347480 in words is "four hundred six million, three hundred forty-seven thousand, four hundred eighty".