406973952000 has 2496 divisors, whose sum is σ = 1939142320128. Its totient is φ = 79626240000.

The previous prime is 406973951971. The next prime is 406973952001. The reversal of 406973952000 is 259379604.

It is a happy number.

406973952000 is a `hidden beast` number, since 4 + 0 + 6 + 97 + 39 + 520 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (406973952001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10999295982 + ... + 10999296018.

It is an arithmetic number, because the mean of its divisors is an integer number (776899968).

Almost surely, 2^406973952000 is an apocalyptic number.

406973952000 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 406973952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969571160064).

406973952000 is an abundant number, since it is smaller than the sum of its proper divisors (1532168368128).

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

406973952000 is a wasteful number, since it uses less digits than its factorization.

406973952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 406973952000 in words is "four hundred six billion, nine hundred seventy-three million, nine hundred fifty-two thousand".