1012354400 has 36 divisors (see below), whose sum is σ = 2471412132. Its totient is φ = 404941440.

The previous prime is 1012354351. The next prime is 1012354439. The reversal of 1012354400 is 44532101.

1012354400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1012354400² = 2049722862398720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 631922 + ... + 633521.

It is an arithmetic number, because the mean of its divisors is an integer number (68650337).

Almost surely, 2^1012354400 is an apocalyptic number.

1012354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012354400 is an abundant number, since it is smaller than the sum of its proper divisors (1459057732).

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

1012354400 is a wasteful number, since it uses less digits than its factorization.

1012354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265463 (or 1265450 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1012354400 is about 31817.5171878637. The cubic root of 1012354400 is about 1004.1012897603.

Adding to 1012354400 its reverse (44532101), we get a palindrome (1056886501).

The spelling of 1012354400 in words is "one billion, twelve million, three hundred fifty-four thousand, four hundred".