406761264 has 200 divisors, whose sum is σ = 1449386400. Its totient is φ = 107246592.

The previous prime is 406761263. The next prime is 406761319. The reversal of 406761264 is 462167604.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (406761263) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 116212 + ... + 119660.

It is an arithmetic number, because the mean of its divisors is an integer number (7246932).

Almost surely, 2^406761264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724693200).

406761264 is an abundant number, since it is smaller than the sum of its proper divisors (1042625136).

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

406761264 is a wasteful number, since it uses less digits than its factorization.

406761264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3474 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 406761264 is about 20168.3232818199. The cubic root of 406761264 is about 740.9345776462.

The spelling of 406761264 in words is "four hundred six million, seven hundred sixty-one thousand, two hundred sixty-four".