511225400 has 96 divisors (see below), whose sum is σ = 1429968000. Its totient is φ = 166043520.

The previous prime is 511225397. The next prime is 511225453. The reversal of 511225400 is 4522115.

It is a super-2 number, since 2×511225400² = 522702819210320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 16991 + ... + 36209.

It is an arithmetic number, because the mean of its divisors is an integer number (14895500).

Almost surely, 2^511225400 is an apocalyptic number.

511225400 is a gapful number since it is divisible by the number (50) 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 511225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714984000).

511225400 is an abundant number, since it is smaller than the sum of its proper divisors (918742600).

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

511225400 is a wasteful number, since it uses less digits than its factorization.

511225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19261 (or 19252 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 511225400 is about 22610.2941157341. The cubic root of 511225400 is about 799.5963588766.

Adding to 511225400 its reverse (4522115), we get a palindrome (515747515).

It can be divided in two parts, 511225 and 400, that multiplied together give a square (204490000 = 14300²).

The spelling of 511225400 in words is "five hundred eleven million, two hundred twenty-five thousand, four hundred".