1014468000 has 384 divisors, whose sum is σ = 4094737920. Its totient is φ = 213811200.

The previous prime is 1014467983. The next prime is 1014468019. The reversal of 1014468000 is 8644101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1091536 + ... + 1092464.

It is an arithmetic number, because the mean of its divisors is an integer number (10663380).

Almost surely, 2^1014468000 is an apocalyptic number.

1014468000 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 1014468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047368960).

1014468000 is an abundant number, since it is smaller than the sum of its proper divisors (3080269920).

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

1014468000 is a wasteful number, since it uses less digits than its factorization.

1014468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1014468000 is about 31850.7142777050. The cubic root of 1014468000 is about 1004.7995937122.

It can be divided in two parts, 1014 and 468000, that multiplied together give a cube (474552000 = 780³).

The spelling of 1014468000 in words is "one billion, fourteen million, four hundred sixty-eight thousand".