1067488400 has 180 divisors, whose sum is σ = 2971335120. Its totient is φ = 364492800.

The previous prime is 1067488363. The next prime is 1067488451. The reversal of 1067488400 is 48847601.

It is a super-2 number, since 2×1067488400² = 2279062968269120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9446744 + ... + 9446856.

Almost surely, 2^1067488400 is an apocalyptic number.

1067488400 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 1067488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485667560).

1067488400 is an abundant number, since it is smaller than the sum of its proper divisors (1903846720).

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

1067488400 is a wasteful number, since it uses less digits than its factorization.

1067488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 1067488400 is about 32672.4409862502. The cubic root of 1067488400 is about 1022.0082183461.

The spelling of 1067488400 in words is "one billion, sixty-seven million, four hundred eighty-eight thousand, four hundred".