405004152 has 128 divisors (see below), whose sum is σ = 1226534400. Its totient is φ = 108864000.

The previous prime is 405004151. The next prime is 405004153. The reversal of 405004152 is 251400504.

It is an interprime number because it is at equal distance from previous prime (405004151) and next prime (405004153).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405004151) 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, 577402 + ... + 578102.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2^405004152 is an apocalyptic number.

405004152 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 405004152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613267200).

405004152 is an abundant number, since it is smaller than the sum of its proper divisors (821530248).

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

405004152 is a wasteful number, since it uses less digits than its factorization.

405004152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 405004152 is about 20124.7149545031. The cubic root of 405004152 is about 739.8661506146.

Adding to 405004152 its reverse (251400504), we get a palindrome (656404656).

The spelling of 405004152 in words is "four hundred five million, four thousand, one hundred fifty-two".