406743792 has 320 divisors, whose sum is σ = 1416576000. Its totient is φ = 98122752.

The previous prime is 406743787. The next prime is 406743797. The reversal of 406743792 is 297347604.

It is an interprime number because it is at equal distance from previous prime (406743787) and next prime (406743797).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406743797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14025634 + ... + 14025662.

It is an arithmetic number, because the mean of its divisors is an integer number (4426800).

Almost surely, 2^406743792 is an apocalyptic number.

406743792 is a gapful number since it is divisible by the number (42) 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 406743792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708288000).

406743792 is an abundant number, since it is smaller than the sum of its proper divisors (1009832208).

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

406743792 is a wasteful number, since it uses less digits than its factorization.

406743792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 406743792 is about 20167.8901226678. The cubic root of 406743792 is about 740.9239688072.

The spelling of 406743792 in words is "four hundred six million, seven hundred forty-three thousand, seven hundred ninety-two".