406049760 has 480 divisors, whose sum is σ = 1613636640. Its totient is φ = 95551488.

The previous prime is 406049723. The next prime is 406049807. The reversal of 406049760 is 67940604.

406049760 is a `hidden beast` number, since 40 + 604 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4186032 + ... + 4186128.

It is an arithmetic number, because the mean of its divisors is an integer number (3361743).

Almost surely, 2^406049760 is an apocalyptic number.

406049760 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 406049760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806818320).

406049760 is an abundant number, since it is smaller than the sum of its proper divisors (1207586880).

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

406049760 is a wasteful number, since it uses less digits than its factorization.

406049760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 406049760 is about 20150.6764154457. The cubic root of 406049760 is about 740.5023129575.

The spelling of 406049760 in words is "four hundred six million, forty-nine thousand, seven hundred sixty".