53519400 has 384 divisors, whose sum is σ = 216950400. Its totient is φ = 11980800.

The previous prime is 53519381. The next prime is 53519429. The reversal of 53519400 is 491535.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1009774 + ... + 1009826.

It is an arithmetic number, because the mean of its divisors is an integer number (564975).

Almost surely, 2^53519400 is an apocalyptic number.

53519400 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 53519400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108475200).

53519400 is an abundant number, since it is smaller than the sum of its proper divisors (163431000).

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

53519400 is a wasteful number, since it uses less digits than its factorization.

53519400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 53519400 is about 7315.6954556624. The cubic root of 53519400 is about 376.8516420760.

The spelling of 53519400 in words is "fifty-three million, five hundred nineteen thousand, four hundred".