352401840 has 400 divisors, whose sum is σ = 1484315712. Its totient is φ = 75644928.

The previous prime is 352401809. The next prime is 352401859. The reversal of 352401840 is 48104253.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 770892 + ... + 771348.

Almost surely, 2^352401840 is an apocalyptic number.

352401840 is a gapful number since it is divisible by the number (30) 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 352401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742157856).

352401840 is an abundant number, since it is smaller than the sum of its proper divisors (1131913872).

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

352401840 is a wasteful number, since it uses less digits than its factorization.

352401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 352401840 is about 18772.3690566748. The cubic root of 352401840 is about 706.3382457931.

The spelling of 352401840 in words is "three hundred fifty-two million, four hundred one thousand, eight hundred forty".