406950720 has 224 divisors, whose sum is σ = 1428658560. Its totient is φ = 97320960.

The previous prime is 406950689. The next prime is 406950727. The reversal of 406950720 is 27059604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406950727) 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, 939624 + ... + 940056.

It is an arithmetic number, because the mean of its divisors is an integer number (6377940).

Almost surely, 2^406950720 is an apocalyptic number.

406950720 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 406950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714329280).

406950720 is an abundant number, since it is smaller than the sum of its proper divisors (1021707840).

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

406950720 is a wasteful number, since it uses less digits than its factorization.

406950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 406950720 is about 20173.0196054036. The cubic root of 406950720 is about 741.0495940989.

The spelling of 406950720 in words is "four hundred six million, nine hundred fifty thousand, seven hundred twenty".