1154464080 has 320 divisors, whose sum is σ = 4499712000. Its totient is φ = 237864960.

The previous prime is 1154464079. The next prime is 1154464127. The reversal of 1154464080 is 804644511.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 3307746 + ... + 3308094.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^1154464080 is an apocalyptic number.

1154464080 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 1154464080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856000).

1154464080 is an abundant number, since it is smaller than the sum of its proper divisors (3345247920).

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

1154464080 is a wasteful number, since it uses less digits than its factorization.

1154464080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1154464080 is about 33977.4054336113. The cubic root of 1154464080 is about 1049.0434463012.

The spelling of 1154464080 in words is "one billion, one hundred fifty-four million, four hundred sixty-four thousand, eighty".