1027464400 has 60 divisors (see below), whose sum is σ = 2484976864. Its totient is φ = 408240000.

The previous prime is 1027464379. The next prime is 1027464407. The reversal of 1027464400 is 44647201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1027464407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51895 + ... + 68905.

Almost surely, 2^1027464400 is an apocalyptic number.

1027464400 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 1027464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242488432).

1027464400 is an abundant number, since it is smaller than the sum of its proper divisors (1457512464).

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

1027464400 is a wasteful number, since it uses less digits than its factorization.

1027464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17180 (or 17169 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 1027464400 is about 32054.0855430318. The cubic root of 1027464400 is about 1009.0722454633.

The spelling of 1027464400 in words is "one billion, twenty-seven million, four hundred sixty-four thousand, four hundred".