400024000 has 112 divisors (see below), whose sum is σ = 1023250176. Its totient is φ = 154752000.

The previous prime is 400023997. The next prime is 400024021. The reversal of 400024000 is 420004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247194 + ... + 248806.

Almost surely, 2^400024000 is an apocalyptic number.

400024000 is a gapful number since it is divisible by the number (40) 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 400024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511625088).

400024000 is an abundant number, since it is smaller than the sum of its proper divisors (623226176).

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

400024000 is a wasteful number, since it uses less digits than its factorization.

400024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 400024000 is about 20000.5999910003. The cubic root of 400024000 is about 736.8210355594.

Adding to 400024000 its reverse (420004), we get a palindrome (400444004).

The spelling of 400024000 in words is "four hundred million, twenty-four thousand".