406762944 has 224 divisors, whose sum is σ = 1372331520. Its totient is φ = 103514112.

The previous prime is 406762919. The next prime is 406762949. The reversal of 406762944 is 449267604.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×406762944² = 330912185223094272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 406762896 and 406762905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406762949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433644 + ... + 434580.

It is an arithmetic number, because the mean of its divisors is an integer number (6126480).

Almost surely, 2^406762944 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 406762944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686165760).

406762944 is an abundant number, since it is smaller than the sum of its proper divisors (965568576).

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

406762944 is a wasteful number, since it uses less digits than its factorization.

406762944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 406762944 is about 20168.3649312481. The cubic root of 406762944 is about 740.9355977109.

The spelling of 406762944 in words is "four hundred six million, seven hundred sixty-two thousand, nine hundred forty-four".