1012467456 has 432 divisors, whose sum is σ = 3928404480. Its totient is φ = 242196480.

The previous prime is 1012467451. The next prime is 1012467481. The reversal of 1012467456 is 6547642101.

It is a super-2 number, since 2×1012467456² = 2050180698918223872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1012467456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012467451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2306085 + ... + 2306523.

Almost surely, 2^1012467456 is an apocalyptic number.

1012467456 is a gapful number since it is divisible by the number (16) 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 1012467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964202240).

1012467456 is an abundant number, since it is smaller than the sum of its proper divisors (2915937024).

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

1012467456 is a wasteful number, since it uses less digits than its factorization.

1012467456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1012467456 is about 31819.2937696612. The cubic root of 1012467456 is about 1004.1386664767.

The spelling of 1012467456 in words is "one billion, twelve million, four hundred sixty-seven thousand, four hundred fifty-six".