1154020400 has 120 divisors (see below), whose sum is σ = 3115946400. Its totient is φ = 407531520.

The previous prime is 1154020397. The next prime is 1154020409. The reversal of 1154020400 is 40204511.

It is not an unprimeable number, because it can be changed into a prime (1154020409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114776 + ... + 124424.

It is an arithmetic number, because the mean of its divisors is an integer number (25966220).

Almost surely, 2^1154020400 is an apocalyptic number.

1154020400 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 1154020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557973200).

1154020400 is an abundant number, since it is smaller than the sum of its proper divisors (1961926000).

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

1154020400 is a wasteful number, since it uses less digits than its factorization.

1154020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9703 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 1154020400 is about 33970.8757614519. The cubic root of 1154020400 is about 1048.9090407236.

Adding to 1154020400 its reverse (40204511), we get a palindrome (1194224911).

The spelling of 1154020400 in words is "one billion, one hundred fifty-four million, twenty thousand, four hundred".