45364040 has 64 divisors (see below), whose sum is σ = 105840000. Its totient is φ = 17487360.

The previous prime is 45364037. The next prime is 45364057. The reversal of 45364040 is 4046354.

It is a super-2 number, since 2×45364040² = 4115792250243200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227861 + ... + 228059.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 2^45364040 is an apocalyptic number.

45364040 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 45364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52920000).

45364040 is an abundant number, since it is smaller than the sum of its proper divisors (60475960).

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

45364040 is a wasteful number, since it uses less digits than its factorization.

45364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 45364040 is about 6735.2832160199. The cubic root of 45364040 is about 356.6459047900.

The spelling of 45364040 in words is "forty-five million, three hundred sixty-four thousand, forty".