406627760 has 240 divisors, whose sum is σ = 1261044288. Its totient is φ = 118947840.

The previous prime is 406627751. The next prime is 406627801. The reversal of 406627760 is 67726604.

It is a happy number.

It is a super-2 number, since 2×406627760² = 330692270405235200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151744 + ... + 1152096.

Almost surely, 2^406627760 is an apocalyptic number.

406627760 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 406627760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630522144).

406627760 is an abundant number, since it is smaller than the sum of its proper divisors (854416528).

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

406627760 is a wasteful number, since it uses less digits than its factorization.

406627760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 406627760 is about 20165.0132655548. The cubic root of 406627760 is about 740.8535075259.

The spelling of 406627760 in words is "four hundred six million, six hundred twenty-seven thousand, seven hundred sixty".