406558152 has 192 divisors, whose sum is σ = 1478655360. Its totient is φ = 97459200.

The previous prime is 406558099. The next prime is 406558157. The reversal of 406558152 is 251855604.

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

It is not an unprimeable number, because it can be changed into a prime (406558157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69252 + ... + 74892.

It is an arithmetic number, because the mean of its divisors is an integer number (7701330).

Almost surely, 2^406558152 is an apocalyptic number.

406558152 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 406558152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739327680).

406558152 is an abundant number, since it is smaller than the sum of its proper divisors (1072097208).

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

406558152 is a wasteful number, since it uses less digits than its factorization.

406558152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5684 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 406558152 is about 20163.2872319967. The cubic root of 406558152 is about 740.8112311256.

The spelling of 406558152 in words is "four hundred six million, five hundred fifty-eight thousand, one hundred fifty-two".