511089040 has 160 divisors (see below), whose sum is σ = 1533116160. Its totient is φ = 153753600.

The previous prime is 511089001. The next prime is 511089041. The reversal of 511089040 is 40980115.

It is a happy number.

It is a super-2 number, since 2×511089040² = 522424013616243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (511089041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177210 + ... + 180070.

It is an arithmetic number, because the mean of its divisors is an integer number (9581976).

Almost surely, 2^511089040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511089040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766558080).

511089040 is an abundant number, since it is smaller than the sum of its proper divisors (1022027120).

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

511089040 is a wasteful number, since it uses less digits than its factorization.

511089040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 511089040 is about 22607.2784739782. The cubic root of 511089040 is about 799.5252599998.

The spelling of 511089040 in words is "five hundred eleven million, eighty-nine thousand, forty".