1024070400 has 324 divisors, whose sum is σ = 3825411408. Its totient is φ = 260874240.

The previous prime is 1024070329. The next prime is 1024070431. The reversal of 1024070400 is 40704201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1324414 + ... + 1325186.

Almost surely, 2^1024070400 is an apocalyptic number.

1024070400 is a gapful number since it is divisible by the number (10) 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 1024070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912705704).

1024070400 is an abundant number, since it is smaller than the sum of its proper divisors (2801341008).

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

1024070400 is a wasteful number, since it uses less digits than its factorization.

1024070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1024070400 is about 32001.0999810944. The cubic root of 1024070400 is about 1007.9599379392.

Adding to 1024070400 its reverse (40704201), we get a palindrome (1064774601).

The spelling of 1024070400 in words is "one billion, twenty-four million, seventy thousand, four hundred".