354780864 has 224 divisors, whose sum is σ = 1111910400. Its totient is φ = 110730240.

The previous prime is 354780859. The next prime is 354780883. The reversal of 354780864 is 468087453.

It is a super-2 number, since 2×354780864² = 251738922921172992, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1981927 + ... + 1982105.

Almost surely, 2^354780864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555955200).

354780864 is an abundant number, since it is smaller than the sum of its proper divisors (757129536).

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

354780864 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (354780863) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (252).

354780864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 354780864 is about 18835.6275180839. The cubic root of 354780864 is about 707.9241515988.

The spelling of 354780864 in words is "three hundred fifty-four million, seven hundred eighty thousand, eight hundred sixty-four".