1023674400 has 432 divisors, whose sum is σ = 4346596800. Its totient is φ = 221460480.

The previous prime is 1023674387. The next prime is 1023674413. The reversal of 1023674400 is 44763201.

It is an interprime number because it is at equal distance from previous prime (1023674387) and next prime (1023674413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 957066 + ... + 958134.

Almost surely, 2^1023674400 is an apocalyptic number.

1023674400 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 1023674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173298400).

1023674400 is an abundant number, since it is smaller than the sum of its proper divisors (3322922400).

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

1023674400 is a wasteful number, since it uses less digits than its factorization.

1023674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1023674400 is about 31994.9120955192. The cubic root of 1023674400 is about 1007.8299977853.

The spelling of 1023674400 in words is "one billion, twenty-three million, six hundred seventy-four thousand, four hundred".