1154433920 has 128 divisors (see below), whose sum is σ = 2930256000. Its totient is φ = 433686528.

The previous prime is 1154433911. The next prime is 1154433923. The reversal of 1154433920 is 293344511.

It is a tau number, because it is divible by the number of its divisors (128).

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 (1154433923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1689899 + ... + 1690581.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 2^1154433920 is an apocalyptic number.

1154433920 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 1154433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465128000).

1154433920 is an abundant number, since it is smaller than the sum of its proper divisors (1775822080).

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

1154433920 is a wasteful number, since it uses less digits than its factorization.

1154433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 1154433920 is about 33976.9616063591. The cubic root of 1154433920 is about 1049.0343109149.

The spelling of 1154433920 in words is "one billion, one hundred fifty-four million, four hundred thirty-three thousand, nine hundred twenty".