406672560 has 180 divisors, whose sum is σ = 1588858128. Its totient is φ = 92945664.

The previous prime is 406672489. The next prime is 406672579. The reversal of 406672560 is 65276604.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×406672560³ (a number of 27 digits) contains 333 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 29517 + ... + 41043.

Almost surely, 2^406672560 is an apocalyptic number.

406672560 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 406672560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794429064).

406672560 is an abundant number, since it is smaller than the sum of its proper divisors (1182185568).

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

406672560 is a wasteful number, since it uses less digits than its factorization.

406672560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11544 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 406672560 is about 20166.1240698355. The cubic root of 406672560 is about 740.8807142422.

The spelling of 406672560 in words is "four hundred six million, six hundred seventy-two thousand, five hundred sixty".