406979490960 has 960 divisors, whose sum is σ = 1675215779328. Its totient is φ = 89902006272.

The previous prime is 406979490947. The next prime is 406979490989. The reversal of 406979490960 is 69094979604.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 526493134 + ... + 526493906.

Almost surely, 2^406979490960 is an apocalyptic number.

406979490960 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 406979490960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837607889664).

406979490960 is an abundant number, since it is smaller than the sum of its proper divisors (1268236288368).

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

406979490960 is a wasteful number, since it uses less digits than its factorization.

406979490960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 406979490960 in words is "four hundred six billion, nine hundred seventy-nine million, four hundred ninety thousand, nine hundred sixty".