354651400 has 96 divisors (see below), whose sum is σ = 845961480. Its totient is φ = 138240000.

The previous prime is 354651391. The next prime is 354651403. The reversal of 354651400 is 4156453.

It can be written as a sum of positive squares in 12 ways, for example, as 11142244 + 343509156 = 3338^2 + 18534^2 .

It is not an unprimeable number, because it can be changed into a prime (354651403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1959310 + ... + 1959490.

Almost surely, 2^354651400 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 354651400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422980740).

354651400 is an abundant number, since it is smaller than the sum of its proper divisors (491310080).

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

354651400 is a wasteful number, since it uses less digits than its factorization.

354651400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 354651400 is about 18832.1905257992. The cubic root of 354651400 is about 707.8380309799.

It can be divided in two parts, 3546 and 51400, that added together give a triangular number (54946 = T₃₃₁).

The spelling of 354651400 in words is "three hundred fifty-four million, six hundred fifty-one thousand, four hundred".