45434000 has 40 divisors (see below), whose sum is σ = 109864248. Its totient is φ = 18172800.

The previous prime is 45433991. The next prime is 45434009. The reversal of 45434000 is 43454.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45433991) and next prime (45434009).

It can be written as a sum of positive squares in 4 ways, for example, as 3857296 + 41576704 = 1964^2 + 6448^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (45434009) 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, 9359 + ... + 13358.

Almost surely, 2^45434000 is an apocalyptic number.

45434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45434000 is an abundant number, since it is smaller than the sum of its proper divisors (64430248).

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

45434000 is a wasteful number, since it uses less digits than its factorization.

45434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22740 (or 22724 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 45434000 is about 6740.4747607272. The cubic root of 45434000 is about 356.8291492873.

Adding to 45434000 its reverse (43454), we get a palindrome (45477454).

The spelling of 45434000 in words is "forty-five million, four hundred thirty-four thousand".