400512 has 64 divisors (see below), whose sum is σ = 1224000. Its totient is φ = 113664.

The previous prime is 400481. The next prime is 400523. The reversal of 400512 is 215004.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

400512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2614 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (19125).

2⁴⁰⁰⁵¹² is an apocalyptic number.

400512 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 400512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612000).

400512 is an abundant number, since it is smaller than the sum of its proper divisors (823488).

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

400512 is a wasteful number, since it uses less digits than its factorization.

400512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 400512 is about 632.8601741301. The cubic root of 400512 is about 73.7120536380.

Adding to 400512 its reverse (215004), we get a palindrome (615516).

The spelling of 400512 in words is "four hundred thousand, five hundred twelve".