406152630 has 288 divisors, whose sum is σ = 1266160896. Its totient is φ = 93405312.

The previous prime is 406152583. The next prime is 406152631. The reversal of 406152630 is 36251604.

406152630 is a `hidden beast` number, since 40 + 615 + 2 + 6 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 406152594 and 406152603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406152631) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9445389 + ... + 9445431.

It is an arithmetic number, because the mean of its divisors is an integer number (4396392).

Almost surely, 2^406152630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406152630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633080448).

406152630 is an abundant number, since it is smaller than the sum of its proper divisors (860008266).

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

406152630 is a wasteful number, since it uses less digits than its factorization.

406152630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 406152630 is about 20153.2287735737. The cubic root of 406152630 is about 740.5648414524.

The spelling of 406152630 in words is "four hundred six million, one hundred fifty-two thousand, six hundred thirty".