500146400 has 72 divisors (see below), whose sum is σ = 1314931464. Its totient is φ = 184665600.

The previous prime is 500146397. The next prime is 500146403. The reversal of 500146400 is 4641005.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (500146397) and next prime (500146403).

It is a super-3 number, since 3×500146400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500146403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13646 + ... + 34445.

It is an arithmetic number, because the mean of its divisors is an integer number (18262937).

Almost surely, 2^500146400 is an apocalyptic number.

500146400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

500146400 is an abundant number, since it is smaller than the sum of its proper divisors (814785064).

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

500146400 is a wasteful number, since it uses less digits than its factorization.

500146400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48124 (or 48111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 500146400 is about 22363.9531389243. The cubic root of 500146400 is about 793.7779835961. Note that the first 3 decimals are identical.

Adding to 500146400 its reverse (4641005), we get a palindrome (504787405).

The spelling of 500146400 in words is "five hundred million, one hundred forty-six thousand, four hundred".