1053854388 has 120 divisors (see below), whose sum is σ = 2904789888. Its totient is φ = 332506944.

The previous prime is 1053854381. The next prime is 1053854407. The reversal of 1053854388 is 8834583501.

1053854388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053854388² = 2221218142213709088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053854381) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 766870 + ... + 768242.

Almost surely, 2^1053854388 is an apocalyptic number.

1053854388 is a gapful number since it is divisible by the number (18) 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 1053854388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452394944).

1053854388 is an abundant number, since it is smaller than the sum of its proper divisors (1850935500).

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

1053854388 is a wasteful number, since it uses less digits than its factorization.

1053854388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 1053854388 is about 32463.1235096070. The cubic root of 1053854388 is about 1017.6385161974.

The spelling of 1053854388 in words is "one billion, fifty-three million, eight hundred fifty-four thousand, three hundred eighty-eight".