45952000 has 88 divisors (see below), whose sum is σ = 114959520. Its totient is φ = 18329600.

The previous prime is 45951991. The next prime is 45952001. The reversal of 45952000 is 25954.

It is a super-2 number, since 2×45952000² = 4223172608000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45952001) 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, 127821 + ... + 128179.

Almost surely, 2^45952000 is an apocalyptic number.

45952000 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 45952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57479760).

45952000 is an abundant number, since it is smaller than the sum of its proper divisors (69007520).

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

45952000 is an equidigital number, since it uses as much as digits as its factorization.

45952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 45952000 is about 6778.7904525808. The cubic root of 45952000 is about 358.1801159756.

Adding to 45952000 its reverse (25954), we get a palindrome (45977954).

The spelling of 45952000 in words is "forty-five million, nine hundred fifty-two thousand".