406997760 has 288 divisors, whose sum is σ = 1450487808. Its totient is φ = 96583680.

The previous prime is 406997737. The next prime is 406997779. The reversal of 406997760 is 67799604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1547389 + ... + 1547651.

It is an arithmetic number, because the mean of its divisors is an integer number (5036416).

Almost surely, 2^406997760 is an apocalyptic number.

406997760 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 406997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904).

406997760 is an abundant number, since it is smaller than the sum of its proper divisors (1043490048).

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

406997760 is a wasteful number, since it uses less digits than its factorization.

406997760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 406997760 is about 20174.1854854168. The cubic root of 406997760 is about 741.0781459834.

The spelling of 406997760 in words is "four hundred six million, nine hundred ninety-seven thousand, seven hundred sixty".