1353924072 has 192 divisors, whose sum is σ = 4019258880. Its totient is φ = 426140352.

The previous prime is 1353924071. The next prime is 1353924113. The reversal of 1353924072 is 2704293531.

1353924072 is a `hidden beast` number, since 13 + 539 + 2 + 40 + 72 = 666.

It is a super-2 number, since 2×1353924072² = 3666220785482122368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1353924071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4784043 + ... + 4784325.

It is an arithmetic number, because the mean of its divisors is an integer number (20933640).

Almost surely, 2^1353924072 is an apocalyptic number.

1353924072 is a gapful number since it is divisible by the number (12) 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 1353924072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009629440).

1353924072 is an abundant number, since it is smaller than the sum of its proper divisors (2665334808).

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

1353924072 is a wasteful number, since it uses less digits than its factorization.

1353924072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1353924072 is about 36795.7072496236. The cubic root of 1353924072 is about 1106.2792585195.

The spelling of 1353924072 in words is "one billion, three hundred fifty-three million, nine hundred twenty-four thousand, seventy-two".