1468076000 has 48 divisors (see below), whose sum is σ = 3607072560. Its totient is φ = 587228800.

The previous prime is 1468075979. The next prime is 1468076003. The reversal of 1468076000 is 6708641.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468076003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179510 + ... + 187509.

It is an arithmetic number, because the mean of its divisors is an integer number (75147345).

Almost surely, 2^1468076000 is an apocalyptic number.

1468076000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1468076000 is an abundant number, since it is smaller than the sum of its proper divisors (2138996560).

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

1468076000 is an equidigital number, since it uses as much as digits as its factorization.

1468076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367044 (or 367026 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 1468076000 is about 38315.4799004267. The cubic root of 1468076000 is about 1136.5350831744.

The spelling of 1468076000 in words is "one billion, four hundred sixty-eight million, seventy-six thousand".