45702000 has 120 divisors (see below), whose sum is σ = 159684720. Its totient is φ = 12182400.

The previous prime is 45701963. The next prime is 45702017. The reversal of 45702000 is 20754.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16731 + ... + 19269.

It is an arithmetic number, because the mean of its divisors is an integer number (1330706).

Almost surely, 2^45702000 is an apocalyptic number.

45702000 is a gapful number since it is divisible by the number (40) 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 45702000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79842360).

45702000 is an abundant number, since it is smaller than the sum of its proper divisors (113982720).

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

45702000 is a wasteful number, since it uses less digits than its factorization.

45702000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 45702000 is about 6760.3254359535. The cubic root of 45702000 is about 357.5293796254.

Adding to 45702000 its reverse (20754), we get a palindrome (45722754).

The spelling of 45702000 in words is "forty-five million, seven hundred two thousand".