1023934464 has 240 divisors, whose sum is σ = 3489657600. Its totient is φ = 283115520.

The previous prime is 1023934421. The next prime is 1023934511. The reversal of 1023934464 is 4644393201.

It is a happy number.

1023934464 is a `hidden beast` number, since 102 + 3 + 93 + 4 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33030129 + ... + 33030159.

It is an arithmetic number, because the mean of its divisors is an integer number (14540240).

Almost surely, 2^1023934464 is an apocalyptic number.

1023934464 is a gapful number since it is divisible by the number (14) 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 1023934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744828800).

1023934464 is an abundant number, since it is smaller than the sum of its proper divisors (2465723136).

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

1023934464 is an frugal number, since it uses more digits than its factorization.

1023934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1023934464 is about 31998.9759836155. The cubic root of 1023934464 is about 1007.9153368046.

The spelling of 1023934464 in words is "one billion, twenty-three million, nine hundred thirty-four thousand, four hundred sixty-four".