354268992 has 224 divisors, whose sum is σ = 1207885824. Its totient is φ = 88934400.

The previous prime is 354268991. The next prime is 354268997. The reversal of 354268992 is 299862453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×354268992³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354268991) 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, 457918 + ... + 458690.

Almost surely, 2^354268992 is an apocalyptic number.

354268992 is a gapful number since it is divisible by the number (32) 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 354268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603942912).

354268992 is an abundant number, since it is smaller than the sum of its proper divisors (853616832).

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

354268992 is a wasteful number, since it uses less digits than its factorization.

354268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 827 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 354268992 is about 18822.0347465411. The cubic root of 354268992 is about 707.5835272867.

The spelling of 354268992 in words is "three hundred fifty-four million, two hundred sixty-eight thousand, nine hundred ninety-two".