45671400 has 72 divisors (see below), whose sum is σ = 153385830. Its totient is φ = 12178560.

The previous prime is 45671393. The next prime is 45671407. The reversal of 45671400 is 417654.

It is an interprime number because it is at equal distance from previous prime (45671393) and next prime (45671407).

It can be written as a sum of positive squares in 3 ways, for example, as 18610596 + 27060804 = 4314^2 + 5202^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (45671407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10887 + ... + 14486.

Almost surely, 2^45671400 is an apocalyptic number.

45671400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45671400 is an abundant number, since it is smaller than the sum of its proper divisors (107714430).

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

45671400 is a wasteful number, since it uses less digits than its factorization.

45671400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25395 (or 25383 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45671400 is about 6758.0618523361. The cubic root of 45671400 is about 357.4495666219.

The spelling of 45671400 in words is "forty-five million, six hundred seventy-one thousand, four hundred".